Matemática básica Exemplos

$238.75 \div 10.5$

Etapa 1

Estabeleça o problema de divisão em formato de divisão longa.

$1$

$0$

$5$

$0$

$2$

$3$

$8$

$7$

$5$

Etapa 2

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

$1$

$0$

$5$

$0$

$2$

$3$

$8$

$7$

$5$

Etapa 3

Divida $2387$ por $1050$ . Coloque esse dígito no quociente no topo do símbolo de divisão.

							$2$
$1$	$0$	$5$	$0$	$2$	$3$	$8$	$7$	$5$

Etapa 4

Multiplique o dígito de quociente mais novo $(2)$ pelo divisor $1050$ .

							$2$
$1$	$0$	$5$	$0$	$2$	$3$	$8$	$7$	$5$
			$-$	$2$	$1$	$0$	$0$

Etapa 5

Subtraia $2100$ de $2387$ .

							$2$
$1$	$0$	$5$	$0$	$2$	$3$	$8$	$7$	$5$
			$-$	$2$	$1$	$0$	$0$
					$2$	$8$	$7$

Etapa 6

Reduza o próximo número do dividendo.

							$2$
$1$	$0$	$5$	$0$	$2$	$3$	$8$	$7$	$5$
			$-$	$2$	$1$	$0$	$0$
					$2$	$8$	$7$	$5$

Etapa 7

Divida $2875$ por $1050$ . Coloque esse dígito no quociente no topo do símbolo de divisão.

							$2$	$2$
$1$	$0$	$5$	$0$	$2$	$3$	$8$	$7$	$5$
			$-$	$2$	$1$	$0$	$0$
					$2$	$8$	$7$	$5$

Etapa 8

Multiplique o dígito de quociente mais novo $(2)$ pelo divisor $1050$ .

							$2$	$2$
$1$	$0$	$5$	$0$	$2$	$3$	$8$	$7$	$5$
			$-$	$2$	$1$	$0$	$0$
					$2$	$8$	$7$	$5$
				$-$	$2$	$1$	$0$	$0$

Etapa 9

Subtraia $2100$ de $2875$ .

							$2$	$2$
$1$	$0$	$5$	$0$	$2$	$3$	$8$	$7$	$5$
			$-$	$2$	$1$	$0$	$0$
					$2$	$8$	$7$	$5$
				$-$	$2$	$1$	$0$	$0$
						$7$	$7$	$5$

Etapa 10

Adicione $0$ ao final do dividendo.

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

Etapa 11

Reduza o próximo número do dividendo.

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

Etapa 12

Divida $7750$ por $1050$ . Coloque esse dígito no quociente no topo do símbolo de divisão.

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

Etapa 13

Multiplique o dígito de quociente mais novo $(7)$ pelo divisor $1050$ .

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

Etapa 14

Subtraia $7350$ de $7750$ .

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

Etapa 15

Adicione $0$ ao final do dividendo.

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

Etapa 16

Reduza o próximo número do dividendo.

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

Etapa 17

Divida $4000$ por $1050$ . Coloque esse dígito no quociente no topo do símbolo de divisão.

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

Etapa 18

Multiplique o dígito de quociente mais novo $(3)$ pelo divisor $1050$ .

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

Etapa 19

Subtraia $3150$ de $4000$ .

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

Etapa 20

Adicione $0$ ao final do dividendo.

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

Etapa 21

Reduza o próximo número do dividendo.

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

Etapa 22

Divida $8500$ por $1050$ . Coloque esse dígito no quociente no topo do símbolo de divisão.

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

Etapa 23

Multiplique o dígito de quociente mais novo $(8)$ pelo divisor $1050$ .

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

Etapa 24

Subtraia $8400$ de $8500$ .

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

Etapa 25

O resultado da divisão de $238.75 \div 10.5$ é $22.738 \dots$ .

$22.738 \dots$

							$2$	$2$
$1$	$0$	$5$	$0$	$2$	$3$	$8$	$7$	$5$
			$-$	$2$	$1$	$0$	$0$
					$2$	$8$	$7$	$5$

							$2$	$2$
$1$	$0$	$5$	$0$	$2$	$3$	$8$	$7$	$5$
			$-$	$2$	$1$	$0$	$0$
					$2$	$8$	$7$	$5$
				$-$	$2$	$1$	$0$	$0$

							$2$	$2$
$1$	$0$	$5$	$0$	$2$	$3$	$8$	$7$	$5$
			$-$	$2$	$1$	$0$	$0$
					$2$	$8$	$7$	$5$
				$-$	$2$	$1$	$0$	$0$
						$7$	$7$	$5$

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

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

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

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

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

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

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

							$2$	$2$
$1$	$0$	$5$	$0$	$2$	$3$	$8$	$7$	$5$
			$-$	$2$	$1$	$0$	$0$
					$2$	$8$	$7$	$5$

							$2$	$2$
$1$	$0$	$5$	$0$	$2$	$3$	$8$	$7$	$5$
			$-$	$2$	$1$	$0$	$0$
					$2$	$8$	$7$	$5$
				$-$	$2$	$1$	$0$	$0$

							$2$	$2$
$1$	$0$	$5$	$0$	$2$	$3$	$8$	$7$	$5$
			$-$	$2$	$1$	$0$	$0$
					$2$	$8$	$7$	$5$
				$-$	$2$	$1$	$0$	$0$
						$7$	$7$	$5$

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

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

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

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

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

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

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

							$2$	$2$
$1$	$0$	$5$	$0$	$2$	$3$	$8$	$7$	$5$
			$-$	$2$	$1$	$0$	$0$
					$2$	$8$	$7$	$5$

							$2$	$2$
$1$	$0$	$5$	$0$	$2$	$3$	$8$	$7$	$5$
			$-$	$2$	$1$	$0$	$0$
					$2$	$8$	$7$	$5$
				$-$	$2$	$1$	$0$	$0$

							$2$	$2$
$1$	$0$	$5$	$0$	$2$	$3$	$8$	$7$	$5$
			$-$	$2$	$1$	$0$	$0$
					$2$	$8$	$7$	$5$
				$-$	$2$	$1$	$0$	$0$
						$7$	$7$	$5$

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

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

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

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

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

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

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