Pré-álgebra Exemplos

$100 \div 7.36$

Etapa 1

Estabeleça o problema de divisão em formato de divisão longa.

$7$

$3$

$6$

$1$

$0$

Etapa 2

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

$7$

$3$

$6$

$1$

$0$

Etapa 3

Divida $1000$ por $736$ . Coloque esse dígito no quociente no topo do símbolo de divisão.

						$1$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$

Etapa 4

Multiplique o dígito de quociente mais novo $(1)$ pelo divisor $736$ .

						$1$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$
			$-$	$7$	$3$	$6$

Etapa 5

Subtraia $736$ de $1000$ .

						$1$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$

Etapa 6

Reduza o próximo número do dividendo.

						$1$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$

Etapa 7

Divida $2640$ por $736$ . Coloque esse dígito no quociente no topo do símbolo de divisão.

						$1$	$3$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$

Etapa 8

Multiplique o dígito de quociente mais novo $(3)$ pelo divisor $736$ .

						$1$	$3$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$
			$-$	$2$	$2$	$0$	$8$

Etapa 9

Subtraia $2208$ de $2640$ .

						$1$	$3$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$
			$-$	$2$	$2$	$0$	$8$
					$4$	$3$	$2$

Etapa 10

Adicione $0$ ao final do dividendo.

						$1$	$3$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$	.	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$
			$-$	$2$	$2$	$0$	$8$
					$4$	$3$	$2$

Etapa 11

Reduza o próximo número do dividendo.

						$1$	$3$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$	.	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$
			$-$	$2$	$2$	$0$	$8$
					$4$	$3$	$2$	$0$

Etapa 12

Divida $4320$ por $736$ . Coloque esse dígito no quociente no topo do símbolo de divisão.

						$1$	$3$	.	$5$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$	.	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$
			$-$	$2$	$2$	$0$	$8$
					$4$	$3$	$2$	$0$

Etapa 13

Multiplique o dígito de quociente mais novo $(5)$ pelo divisor $736$ .

						$1$	$3$	.	$5$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$	.	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$
			$-$	$2$	$2$	$0$	$8$
					$4$	$3$	$2$	$0$
					$-$	$3$	$6$	$8$	$0$

Etapa 14

Subtraia $3680$ de $4320$ .

						$1$	$3$	.	$5$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$	.	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$
			$-$	$2$	$2$	$0$	$8$
					$4$	$3$	$2$	$0$
					$-$	$3$	$6$	$8$	$0$
							$6$	$4$	$0$

Etapa 15

Adicione $0$ ao final do dividendo.

						$1$	$3$	.	$5$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$	.	$0$	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$
			$-$	$2$	$2$	$0$	$8$
					$4$	$3$	$2$	$0$
					$-$	$3$	$6$	$8$	$0$
							$6$	$4$	$0$

Etapa 16

Reduza o próximo número do dividendo.

						$1$	$3$	.	$5$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$	.	$0$	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$
			$-$	$2$	$2$	$0$	$8$
					$4$	$3$	$2$	$0$
					$-$	$3$	$6$	$8$	$0$
							$6$	$4$	$0$	$0$

Etapa 17

Divida $6400$ por $736$ . Coloque esse dígito no quociente no topo do símbolo de divisão.

						$1$	$3$	.	$5$	$8$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$	.	$0$	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$
			$-$	$2$	$2$	$0$	$8$
					$4$	$3$	$2$	$0$
					$-$	$3$	$6$	$8$	$0$
							$6$	$4$	$0$	$0$

Etapa 18

Multiplique o dígito de quociente mais novo $(8)$ pelo divisor $736$ .

						$1$	$3$	.	$5$	$8$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$	.	$0$	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$
			$-$	$2$	$2$	$0$	$8$
					$4$	$3$	$2$	$0$
					$-$	$3$	$6$	$8$	$0$
							$6$	$4$	$0$	$0$
						$-$	$5$	$8$	$8$	$8$

Etapa 19

Subtraia $5888$ de $6400$ .

						$1$	$3$	.	$5$	$8$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$	.	$0$	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$
			$-$	$2$	$2$	$0$	$8$
					$4$	$3$	$2$	$0$
					$-$	$3$	$6$	$8$	$0$
							$6$	$4$	$0$	$0$
						$-$	$5$	$8$	$8$	$8$
								$5$	$1$	$2$

Etapa 20

Adicione $0$ ao final do dividendo.

						$1$	$3$	.	$5$	$8$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$	.	$0$	$0$	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$
			$-$	$2$	$2$	$0$	$8$
					$4$	$3$	$2$	$0$
					$-$	$3$	$6$	$8$	$0$
							$6$	$4$	$0$	$0$
						$-$	$5$	$8$	$8$	$8$
								$5$	$1$	$2$

Etapa 21

Reduza o próximo número do dividendo.

						$1$	$3$	.	$5$	$8$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$	.	$0$	$0$	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$
			$-$	$2$	$2$	$0$	$8$
					$4$	$3$	$2$	$0$
					$-$	$3$	$6$	$8$	$0$
							$6$	$4$	$0$	$0$
						$-$	$5$	$8$	$8$	$8$
								$5$	$1$	$2$	$0$

Etapa 22

Divida $5120$ por $736$ . Coloque esse dígito no quociente no topo do símbolo de divisão.

						$1$	$3$	.	$5$	$8$	$6$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$	.	$0$	$0$	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$
			$-$	$2$	$2$	$0$	$8$
					$4$	$3$	$2$	$0$
					$-$	$3$	$6$	$8$	$0$
							$6$	$4$	$0$	$0$
						$-$	$5$	$8$	$8$	$8$
								$5$	$1$	$2$	$0$

Etapa 23

Multiplique o dígito de quociente mais novo $(6)$ pelo divisor $736$ .

						$1$	$3$	.	$5$	$8$	$6$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$	.	$0$	$0$	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$
			$-$	$2$	$2$	$0$	$8$
					$4$	$3$	$2$	$0$
					$-$	$3$	$6$	$8$	$0$
							$6$	$4$	$0$	$0$
						$-$	$5$	$8$	$8$	$8$
								$5$	$1$	$2$	$0$
							$-$	$4$	$4$	$1$	$6$

Etapa 24

Subtraia $4416$ de $5120$ .

						$1$	$3$	.	$5$	$8$	$6$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$	.	$0$	$0$	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$
			$-$	$2$	$2$	$0$	$8$
					$4$	$3$	$2$	$0$
					$-$	$3$	$6$	$8$	$0$
							$6$	$4$	$0$	$0$
						$-$	$5$	$8$	$8$	$8$
								$5$	$1$	$2$	$0$
							$-$	$4$	$4$	$1$	$6$
									$7$	$0$	$4$

Etapa 25

O resultado da divisão de $100 \div 7.36$ é $13.586 \dots$ .

$13.586 \dots$

						$1$	$3$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$
			$-$	$2$	$2$	$0$	$8$

						$1$	$3$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$
			$-$	$2$	$2$	$0$	$8$
					$4$	$3$	$2$

						$1$	$3$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$	.	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$
			$-$	$2$	$2$	$0$	$8$
					$4$	$3$	$2$

						$1$	$3$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$	.	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$
			$-$	$2$	$2$	$0$	$8$
					$4$	$3$	$2$	$0$

						$1$	$3$	.	$5$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$	.	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$
			$-$	$2$	$2$	$0$	$8$
					$4$	$3$	$2$	$0$

						$1$	$3$	.	$5$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$	.	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$
			$-$	$2$	$2$	$0$	$8$
					$4$	$3$	$2$	$0$
					$-$	$3$	$6$	$8$	$0$

						$1$	$3$	.	$5$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$	.	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$
			$-$	$2$	$2$	$0$	$8$
					$4$	$3$	$2$	$0$
					$-$	$3$	$6$	$8$	$0$
							$6$	$4$	$0$

						$1$	$3$	.	$5$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$	.	$0$	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$
			$-$	$2$	$2$	$0$	$8$
					$4$	$3$	$2$	$0$
					$-$	$3$	$6$	$8$	$0$
							$6$	$4$	$0$

						$1$	$3$	.	$5$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$	.	$0$	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$
			$-$	$2$	$2$	$0$	$8$
					$4$	$3$	$2$	$0$
					$-$	$3$	$6$	$8$	$0$
							$6$	$4$	$0$	$0$

						$1$	$3$	.	$5$	$8$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$	.	$0$	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$
			$-$	$2$	$2$	$0$	$8$
					$4$	$3$	$2$	$0$
					$-$	$3$	$6$	$8$	$0$
							$6$	$4$	$0$	$0$

						$1$	$3$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$
			$-$	$2$	$2$	$0$	$8$

						$1$	$3$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$
			$-$	$2$	$2$	$0$	$8$
					$4$	$3$	$2$

						$1$	$3$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$	.	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$
			$-$	$2$	$2$	$0$	$8$
					$4$	$3$	$2$

						$1$	$3$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$	.	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$
			$-$	$2$	$2$	$0$	$8$
					$4$	$3$	$2$	$0$

						$1$	$3$	.	$5$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$	.	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$
			$-$	$2$	$2$	$0$	$8$
					$4$	$3$	$2$	$0$

						$1$	$3$	.	$5$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$	.	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$
			$-$	$2$	$2$	$0$	$8$
					$4$	$3$	$2$	$0$
					$-$	$3$	$6$	$8$	$0$

						$1$	$3$	.	$5$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$	.	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$
			$-$	$2$	$2$	$0$	$8$
					$4$	$3$	$2$	$0$
					$-$	$3$	$6$	$8$	$0$
							$6$	$4$	$0$

						$1$	$3$	.	$5$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$	.	$0$	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$
			$-$	$2$	$2$	$0$	$8$
					$4$	$3$	$2$	$0$
					$-$	$3$	$6$	$8$	$0$
							$6$	$4$	$0$

						$1$	$3$	.	$5$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$	.	$0$	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$
			$-$	$2$	$2$	$0$	$8$
					$4$	$3$	$2$	$0$
					$-$	$3$	$6$	$8$	$0$
							$6$	$4$	$0$	$0$

						$1$	$3$	.	$5$	$8$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$	.	$0$	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$
			$-$	$2$	$2$	$0$	$8$
					$4$	$3$	$2$	$0$
					$-$	$3$	$6$	$8$	$0$
							$6$	$4$	$0$	$0$

						$1$	$3$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$
			$-$	$2$	$2$	$0$	$8$

						$1$	$3$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$
			$-$	$2$	$2$	$0$	$8$
					$4$	$3$	$2$

						$1$	$3$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$	.	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$
			$-$	$2$	$2$	$0$	$8$
					$4$	$3$	$2$

						$1$	$3$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$	.	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$
			$-$	$2$	$2$	$0$	$8$
					$4$	$3$	$2$	$0$

						$1$	$3$	.	$5$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$	.	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$
			$-$	$2$	$2$	$0$	$8$
					$4$	$3$	$2$	$0$

						$1$	$3$	.	$5$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$	.	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$
			$-$	$2$	$2$	$0$	$8$
					$4$	$3$	$2$	$0$
					$-$	$3$	$6$	$8$	$0$

						$1$	$3$	.	$5$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$	.	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$
			$-$	$2$	$2$	$0$	$8$
					$4$	$3$	$2$	$0$
					$-$	$3$	$6$	$8$	$0$
							$6$	$4$	$0$

						$1$	$3$	.	$5$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$	.	$0$	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$
			$-$	$2$	$2$	$0$	$8$
					$4$	$3$	$2$	$0$
					$-$	$3$	$6$	$8$	$0$
							$6$	$4$	$0$

						$1$	$3$	.	$5$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$	.	$0$	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$
			$-$	$2$	$2$	$0$	$8$
					$4$	$3$	$2$	$0$
					$-$	$3$	$6$	$8$	$0$
							$6$	$4$	$0$	$0$

						$1$	$3$	.	$5$	$8$
$7$	$3$	$6$	$1$	$0$	$0$	$0$	$0$	.	$0$	$0$
			$-$	$7$	$3$	$6$
				$2$	$6$	$4$	$0$
			$-$	$2$	$2$	$0$	$8$
					$4$	$3$	$2$	$0$
					$-$	$3$	$6$	$8$	$0$
							$6$	$4$	$0$	$0$