Pré-álgebra Exemplos

$\frac{126}{0.135}$

Etapa 1

Estabeleça o problema de divisão em formato de divisão longa.

$0$

$1$

$3$

$5$

$1$

$2$

$6$

Etapa 2

Mova o sinal de decimal pela mesma quantidade de casas em ambos os números, até que o divisor seja um número inteiro.

$1$

$3$

$5$

$1$

$2$

$6$

$0$

Etapa 3

Divida $1260$ por $135$ . Coloque esse dígito no quociente no topo do símbolo de divisão.

						$9$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$

Etapa 4

Multiplique o dígito de quociente mais novo $(9)$ pelo divisor $135$ .

						$9$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$
			$1$	$2$	$1$	$5$

Etapa 5

Subtraia $1215$ de $1260$ .

						$9$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$

Etapa 6

Reduza o próximo número do dividendo.

						$9$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$

Etapa 7

Divida $450$ por $135$ . Coloque esse dígito no quociente no topo do símbolo de divisão.

						$9$	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$

Etapa 8

Multiplique o dígito de quociente mais novo $(3)$ pelo divisor $135$ .

						$9$	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$

Etapa 9

Subtraia $405$ de $450$ .

						$9$	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$
						$4$	$5$

Etapa 10

Reduza o próximo número do dividendo.

						$9$	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$
						$4$	$5$	$0$

Etapa 11

Divida $450$ por $135$ . Coloque esse dígito no quociente no topo do símbolo de divisão.

						$9$	$3$	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$
						$4$	$5$	$0$

Etapa 12

Multiplique o dígito de quociente mais novo $(3)$ pelo divisor $135$ .

						$9$	$3$	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$
						$4$	$5$	$0$
					$-$	$4$	$0$	$5$

Etapa 13

Subtraia $405$ de $450$ .

						$9$	$3$	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$
						$4$	$5$	$0$
					$-$	$4$	$0$	$5$
							$4$	$5$

Etapa 14

Adicione $0$ ao final do dividendo.

						$9$	$3$	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$	.	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$
						$4$	$5$	$0$
					$-$	$4$	$0$	$5$
							$4$	$5$

Etapa 15

Reduza o próximo número do dividendo.

						$9$	$3$	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$	.	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$
						$4$	$5$	$0$
					$-$	$4$	$0$	$5$
							$4$	$5$	$0$

Etapa 16

Divida $450$ por $135$ . Coloque esse dígito no quociente no topo do símbolo de divisão.

						$9$	$3$	$3$	.	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$	.	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$
						$4$	$5$	$0$
					$-$	$4$	$0$	$5$
							$4$	$5$	$0$

Etapa 17

Multiplique o dígito de quociente mais novo $(3)$ pelo divisor $135$ .

						$9$	$3$	$3$	.	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$	.	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$
						$4$	$5$	$0$
					$-$	$4$	$0$	$5$
							$4$	$5$	$0$
							$-$	$4$	$0$	$5$

Etapa 18

Subtraia $405$ de $450$ .

						$9$	$3$	$3$	.	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$	.	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$
						$4$	$5$	$0$
					$-$	$4$	$0$	$5$
							$4$	$5$	$0$
							$-$	$4$	$0$	$5$
									$4$	$5$

Etapa 19

Adicione $0$ ao final do dividendo.

						$9$	$3$	$3$	.	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$	.	$0$	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$
						$4$	$5$	$0$
					$-$	$4$	$0$	$5$
							$4$	$5$	$0$
							$-$	$4$	$0$	$5$
									$4$	$5$

Etapa 20

Reduza o próximo número do dividendo.

						$9$	$3$	$3$	.	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$	.	$0$	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$
						$4$	$5$	$0$
					$-$	$4$	$0$	$5$
							$4$	$5$	$0$
							$-$	$4$	$0$	$5$
									$4$	$5$	$0$

Etapa 21

Divida $450$ por $135$ . Coloque esse dígito no quociente no topo do símbolo de divisão.

						$9$	$3$	$3$	.	$3$	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$	.	$0$	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$
						$4$	$5$	$0$
					$-$	$4$	$0$	$5$
							$4$	$5$	$0$
							$-$	$4$	$0$	$5$
									$4$	$5$	$0$

Etapa 22

Multiplique o dígito de quociente mais novo $(3)$ pelo divisor $135$ .

						$9$	$3$	$3$	.	$3$	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$	.	$0$	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$
						$4$	$5$	$0$
					$-$	$4$	$0$	$5$
							$4$	$5$	$0$
							$-$	$4$	$0$	$5$
									$4$	$5$	$0$
								$-$	$4$	$0$	$5$

Etapa 23

Subtraia $405$ de $450$ .

						$9$	$3$	$3$	.	$3$	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$	.	$0$	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$
						$4$	$5$	$0$
					$-$	$4$	$0$	$5$
							$4$	$5$	$0$
							$-$	$4$	$0$	$5$
									$4$	$5$	$0$
								$-$	$4$	$0$	$5$
										$4$	$5$

Etapa 24

Adicione $0$ ao final do dividendo.

						$9$	$3$	$3$	.	$3$	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$	.	$0$	$0$	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$
						$4$	$5$	$0$
					$-$	$4$	$0$	$5$
							$4$	$5$	$0$
							$-$	$4$	$0$	$5$
									$4$	$5$	$0$
								$-$	$4$	$0$	$5$
										$4$	$5$

Etapa 25

Reduza o próximo número do dividendo.

						$9$	$3$	$3$	.	$3$	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$	.	$0$	$0$	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$
						$4$	$5$	$0$
					$-$	$4$	$0$	$5$
							$4$	$5$	$0$
							$-$	$4$	$0$	$5$
									$4$	$5$	$0$
								$-$	$4$	$0$	$5$
										$4$	$5$	$0$

Etapa 26

Divida $450$ por $135$ . Coloque esse dígito no quociente no topo do símbolo de divisão.

						$9$	$3$	$3$	.	$3$	$3$	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$	.	$0$	$0$	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$
						$4$	$5$	$0$
					$-$	$4$	$0$	$5$
							$4$	$5$	$0$
							$-$	$4$	$0$	$5$
									$4$	$5$	$0$
								$-$	$4$	$0$	$5$
										$4$	$5$	$0$

Etapa 27

Multiplique o dígito de quociente mais novo $(3)$ pelo divisor $135$ .

						$9$	$3$	$3$	.	$3$	$3$	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$	.	$0$	$0$	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$
						$4$	$5$	$0$
					$-$	$4$	$0$	$5$
							$4$	$5$	$0$
							$-$	$4$	$0$	$5$
									$4$	$5$	$0$
								$-$	$4$	$0$	$5$
										$4$	$5$	$0$
									$-$	$4$	$0$	$5$

Etapa 28

Subtraia $405$ de $450$ .

						$9$	$3$	$3$	.	$3$	$3$	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$	.	$0$	$0$	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$
						$4$	$5$	$0$
					$-$	$4$	$0$	$5$
							$4$	$5$	$0$
							$-$	$4$	$0$	$5$
									$4$	$5$	$0$
								$-$	$4$	$0$	$5$
										$4$	$5$	$0$
									$-$	$4$	$0$	$5$
											$4$	$5$

Etapa 29

O resultado da divisão de $\frac{126}{0.135}$ é $933.333 \dots$ .

$933.333 \dots$

						$9$	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$

						$9$	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$
						$4$	$5$

						$9$	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$
						$4$	$5$	$0$

						$9$	$3$	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$
						$4$	$5$	$0$

						$9$	$3$	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$
						$4$	$5$	$0$
					$-$	$4$	$0$	$5$

						$9$	$3$	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$
						$4$	$5$	$0$
					$-$	$4$	$0$	$5$
							$4$	$5$

						$9$	$3$	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$	.	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$
						$4$	$5$	$0$
					$-$	$4$	$0$	$5$
							$4$	$5$

						$9$	$3$	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$	.	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$
						$4$	$5$	$0$
					$-$	$4$	$0$	$5$
							$4$	$5$	$0$

						$9$	$3$	$3$	.	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$	.	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$
						$4$	$5$	$0$
					$-$	$4$	$0$	$5$
							$4$	$5$	$0$

						$9$	$3$	$3$	.	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$	.	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$
						$4$	$5$	$0$
					$-$	$4$	$0$	$5$
							$4$	$5$	$0$
							$-$	$4$	$0$	$5$

						$9$	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$

						$9$	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$
						$4$	$5$

						$9$	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$
						$4$	$5$	$0$

						$9$	$3$	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$
						$4$	$5$	$0$

						$9$	$3$	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$
						$4$	$5$	$0$
					$-$	$4$	$0$	$5$

						$9$	$3$	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$
						$4$	$5$	$0$
					$-$	$4$	$0$	$5$
							$4$	$5$

						$9$	$3$	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$	.	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$
						$4$	$5$	$0$
					$-$	$4$	$0$	$5$
							$4$	$5$

						$9$	$3$	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$	.	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$
						$4$	$5$	$0$
					$-$	$4$	$0$	$5$
							$4$	$5$	$0$

						$9$	$3$	$3$	.	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$	.	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$
						$4$	$5$	$0$
					$-$	$4$	$0$	$5$
							$4$	$5$	$0$

						$9$	$3$	$3$	.	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$	.	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$
						$4$	$5$	$0$
					$-$	$4$	$0$	$5$
							$4$	$5$	$0$
							$-$	$4$	$0$	$5$

						$9$	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$

						$9$	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$
						$4$	$5$

						$9$	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$
						$4$	$5$	$0$

						$9$	$3$	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$
						$4$	$5$	$0$

						$9$	$3$	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$
						$4$	$5$	$0$
					$-$	$4$	$0$	$5$

						$9$	$3$	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$
						$4$	$5$	$0$
					$-$	$4$	$0$	$5$
							$4$	$5$

						$9$	$3$	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$	.	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$
						$4$	$5$	$0$
					$-$	$4$	$0$	$5$
							$4$	$5$

						$9$	$3$	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$	.	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$
						$4$	$5$	$0$
					$-$	$4$	$0$	$5$
							$4$	$5$	$0$

						$9$	$3$	$3$	.	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$	.	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$
						$4$	$5$	$0$
					$-$	$4$	$0$	$5$
							$4$	$5$	$0$

						$9$	$3$	$3$	.	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$	.	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$
				$-$	$4$	$0$	$5$
						$4$	$5$	$0$
					$-$	$4$	$0$	$5$
							$4$	$5$	$0$
							$-$	$4$	$0$	$5$