Pré-álgebra Exemplos

$5 \div 0.37$

Etapa 1

Estabeleça o problema de divisão em formato de divisão longa.

$0$

$3$

$7$

$5$

Etapa 2

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

$3$

$7$

$5$

$0$

Etapa 3

Divida $50$ por $37$ . Coloque esse dígito no quociente no topo do símbolo de divisão.

			$1$
$3$	$7$	$5$	$0$	$0$

Etapa 4

Multiplique o dígito de quociente mais novo $(1)$ pelo divisor $37$ .

			$1$
$3$	$7$	$5$	$0$	$0$
	$-$	$3$	$7$

Etapa 5

Subtraia $37$ de $50$ .

			$1$
$3$	$7$	$5$	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$

Etapa 6

Reduza o próximo número do dividendo.

			$1$
$3$	$7$	$5$	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$

Etapa 7

Divida $130$ por $37$ . Coloque esse dígito no quociente no topo do símbolo de divisão.

			$1$	$3$
$3$	$7$	$5$	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$

Etapa 8

Multiplique o dígito de quociente mais novo $(3)$ pelo divisor $37$ .

			$1$	$3$
$3$	$7$	$5$	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$

Etapa 9

Subtraia $111$ de $130$ .

			$1$	$3$
$3$	$7$	$5$	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$

Etapa 10

Adicione $0$ ao final do dividendo.

			$1$	$3$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$

Etapa 11

Reduza o próximo número do dividendo.

			$1$	$3$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$

Etapa 12

Divida $190$ por $37$ . Coloque esse dígito no quociente no topo do símbolo de divisão.

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$

Etapa 13

Multiplique o dígito de quociente mais novo $(5)$ pelo divisor $37$ .

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$

Etapa 14

Subtraia $185$ de $190$ .

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$

Etapa 15

Adicione $0$ ao final do dividendo.

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$

Etapa 16

Reduza o próximo número do dividendo.

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$

Etapa 17

Divida $50$ por $37$ . Coloque esse dígito no quociente no topo do símbolo de divisão.

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$

Etapa 18

Multiplique o dígito de quociente mais novo $(1)$ pelo divisor $37$ .

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$

Etapa 19

Subtraia $37$ de $50$ .

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$
						$1$	$3$

Etapa 20

Adicione $0$ ao final do dividendo.

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$
						$1$	$3$

Etapa 21

Reduza o próximo número do dividendo.

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$
						$1$	$3$	$0$

Etapa 22

Divida $130$ por $37$ . Coloque esse dígito no quociente no topo do símbolo de divisão.

			$1$	$3$	.	$5$	$1$	$3$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$
						$1$	$3$	$0$

Etapa 23

Multiplique o dígito de quociente mais novo $(3)$ pelo divisor $37$ .

			$1$	$3$	.	$5$	$1$	$3$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$
						$1$	$3$	$0$
					$-$	$1$	$1$	$1$

Etapa 24

Subtraia $111$ de $130$ .

			$1$	$3$	.	$5$	$1$	$3$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$
						$1$	$3$	$0$
					$-$	$1$	$1$	$1$
							$1$	$9$

Etapa 25

O resultado da divisão de $5 \div 0.37$ é $13.513 \dots$ .

$13.513 \dots$

			$1$	$3$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$

			$1$	$3$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$
						$1$	$3$

			$1$	$3$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$

			$1$	$3$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$
						$1$	$3$

			$1$	$3$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$

			$1$	$3$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$
						$1$	$3$