Pré-álgebra Exemplos

$57.13 \div 1.62$

Etapa 1

Estabeleça o problema de divisão em formato de divisão longa.

$1$

$6$

$2$

$5$

$7$

$1$

$3$

Etapa 2

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

$1$

$6$

$2$

$5$

$7$

$1$

$3$

Etapa 3

Divida $571$ por $162$ . Coloque esse dígito no quociente no topo do símbolo de divisão.

					$3$
$1$	$6$	$2$	$5$	$7$	$1$	$3$

Etapa 4

Multiplique o dígito de quociente mais novo $(3)$ pelo divisor $162$ .

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

Etapa 5

Subtraia $486$ de $571$ .

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

Etapa 6

Reduza o próximo número do dividendo.

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

Etapa 7

Divida $853$ por $162$ . Coloque esse dígito no quociente no topo do símbolo de divisão.

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

Etapa 8

Multiplique o dígito de quociente mais novo $(5)$ pelo divisor $162$ .

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

Etapa 9

Subtraia $810$ de $853$ .

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

Etapa 10

Adicione $0$ ao final do dividendo.

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

Etapa 11

Reduza o próximo número do dividendo.

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

Etapa 12

Divida $430$ por $162$ . Coloque esse dígito no quociente no topo do símbolo de divisão.

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

Etapa 13

Multiplique o dígito de quociente mais novo $(2)$ pelo divisor $162$ .

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

Etapa 14

Subtraia $324$ de $430$ .

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

Etapa 15

Adicione $0$ ao final do dividendo.

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

Etapa 16

Reduza o próximo número do dividendo.

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

Etapa 17

Divida $1060$ por $162$ . Coloque esse dígito no quociente no topo do símbolo de divisão.

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

Etapa 18

Multiplique o dígito de quociente mais novo $(6)$ pelo divisor $162$ .

					$3$	$5$	.	$2$	$6$
$1$	$6$	$2$	$5$	$7$	$1$	$3$	.	$0$	$0$
		$-$	$4$	$8$	$6$
				$8$	$5$	$3$
			$-$	$8$	$1$	$0$
					$4$	$3$	$0$
					$-$	$3$	$2$	$4$
						$1$	$0$	$6$	$0$
					$-$		$9$	$7$	$2$

Etapa 19

Subtraia $972$ de $1060$ .

					$3$	$5$	.	$2$	$6$
$1$	$6$	$2$	$5$	$7$	$1$	$3$	.	$0$	$0$
		$-$	$4$	$8$	$6$
				$8$	$5$	$3$
			$-$	$8$	$1$	$0$
					$4$	$3$	$0$
					$-$	$3$	$2$	$4$
						$1$	$0$	$6$	$0$
					$-$		$9$	$7$	$2$
								$8$	$8$

Etapa 20

Adicione $0$ ao final do dividendo.

					$3$	$5$	.	$2$	$6$
$1$	$6$	$2$	$5$	$7$	$1$	$3$	.	$0$	$0$	$0$
		$-$	$4$	$8$	$6$
				$8$	$5$	$3$
			$-$	$8$	$1$	$0$
					$4$	$3$	$0$
					$-$	$3$	$2$	$4$
						$1$	$0$	$6$	$0$
					$-$		$9$	$7$	$2$
								$8$	$8$

Etapa 21

Reduza o próximo número do dividendo.

					$3$	$5$	.	$2$	$6$
$1$	$6$	$2$	$5$	$7$	$1$	$3$	.	$0$	$0$	$0$
		$-$	$4$	$8$	$6$
				$8$	$5$	$3$
			$-$	$8$	$1$	$0$
					$4$	$3$	$0$
					$-$	$3$	$2$	$4$
						$1$	$0$	$6$	$0$
					$-$		$9$	$7$	$2$
								$8$	$8$	$0$

Etapa 22

Divida $880$ por $162$ . Coloque esse dígito no quociente no topo do símbolo de divisão.

					$3$	$5$	.	$2$	$6$	$5$
$1$	$6$	$2$	$5$	$7$	$1$	$3$	.	$0$	$0$	$0$
		$-$	$4$	$8$	$6$
				$8$	$5$	$3$
			$-$	$8$	$1$	$0$
					$4$	$3$	$0$
					$-$	$3$	$2$	$4$
						$1$	$0$	$6$	$0$
					$-$		$9$	$7$	$2$
								$8$	$8$	$0$

Etapa 23

Multiplique o dígito de quociente mais novo $(5)$ pelo divisor $162$ .

					$3$	$5$	.	$2$	$6$	$5$
$1$	$6$	$2$	$5$	$7$	$1$	$3$	.	$0$	$0$	$0$
		$-$	$4$	$8$	$6$
				$8$	$5$	$3$
			$-$	$8$	$1$	$0$
					$4$	$3$	$0$
					$-$	$3$	$2$	$4$
						$1$	$0$	$6$	$0$
					$-$		$9$	$7$	$2$
								$8$	$8$	$0$
							$-$	$8$	$1$	$0$

Etapa 24

Subtraia $810$ de $880$ .

					$3$	$5$	.	$2$	$6$	$5$
$1$	$6$	$2$	$5$	$7$	$1$	$3$	.	$0$	$0$	$0$
		$-$	$4$	$8$	$6$
				$8$	$5$	$3$
			$-$	$8$	$1$	$0$
					$4$	$3$	$0$
					$-$	$3$	$2$	$4$
						$1$	$0$	$6$	$0$
					$-$		$9$	$7$	$2$
								$8$	$8$	$0$
							$-$	$8$	$1$	$0$
									$7$	$0$

Etapa 25

O resultado da divisão de $57.13 \div 1.62$ é $35.265 \dots$ .

$35.265 \dots$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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