Pré-álgebra Exemplos

$33.5 \div 0.6$

Etapa 1

Estabeleça o problema de divisão em formato de divisão longa.

$0$

$6$

$3$

$5$

Etapa 2

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

$6$

$3$

$5$

Etapa 3

Divida $33$ por $6$ . Coloque esse dígito no quociente no topo do símbolo de divisão.

		$5$
$6$	$3$	$3$	$5$

Etapa 4

Multiplique o dígito de quociente mais novo $(5)$ pelo divisor $6$ .

		$5$
$6$	$3$	$3$	$5$
	$3$	$0$

Etapa 5

Subtraia $30$ de $33$ .

		$5$
$6$	$3$	$3$	$5$
	$3$	$0$
		$3$

Etapa 6

Reduza o próximo número do dividendo.

		$5$
$6$	$3$	$3$	$5$
	$3$	$0$
		$3$	$5$

Etapa 7

Divida $35$ por $6$ . Coloque esse dígito no quociente no topo do símbolo de divisão.

		$5$	$5$
$6$	$3$	$3$	$5$
	$3$	$0$
		$3$	$5$

Etapa 8

Multiplique o dígito de quociente mais novo $(5)$ pelo divisor $6$ .

		$5$	$5$
$6$	$3$	$3$	$5$
	$3$	$0$
		$3$	$5$
	$-$	$3$	$0$

Etapa 9

Subtraia $30$ de $35$ .

		$5$	$5$
$6$	$3$	$3$	$5$
	$3$	$0$
		$3$	$5$
	$-$	$3$	$0$
			$5$

Etapa 10

Adicione $0$ ao final do dividendo.

		$5$	$5$
$6$	$3$	$3$	$5$	.	$0$
	$3$	$0$
		$3$	$5$
	$-$	$3$	$0$
			$5$

Etapa 11

Reduza o próximo número do dividendo.

		$5$	$5$
$6$	$3$	$3$	$5$	.	$0$
	$3$	$0$
		$3$	$5$
	$-$	$3$	$0$
			$5$	$0$

Etapa 12

Divida $50$ por $6$ . Coloque esse dígito no quociente no topo do símbolo de divisão.

		$5$	$5$	.	$8$
$6$	$3$	$3$	$5$	.	$0$
	$3$	$0$
		$3$	$5$
	$-$	$3$	$0$
			$5$	$0$

Etapa 13

Multiplique o dígito de quociente mais novo $(8)$ pelo divisor $6$ .

		$5$	$5$	.	$8$
$6$	$3$	$3$	$5$	.	$0$
	$3$	$0$
		$3$	$5$
	$-$	$3$	$0$
			$5$	$0$
			$-$	$4$	$8$

Etapa 14

Subtraia $48$ de $50$ .

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

Etapa 15

Adicione $0$ ao final do dividendo.

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

Etapa 16

Reduza o próximo número do dividendo.

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

Etapa 17

Divida $20$ por $6$ . Coloque esse dígito no quociente no topo do símbolo de divisão.

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

Etapa 18

Multiplique o dígito de quociente mais novo $(3)$ pelo divisor $6$ .

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

Etapa 19

Subtraia $18$ de $20$ .

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

Etapa 20

Adicione $0$ ao final do dividendo.

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

Etapa 21

Reduza o próximo número do dividendo.

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

Etapa 22

Divida $20$ por $6$ . Coloque esse dígito no quociente no topo do símbolo de divisão.

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

Etapa 23

Multiplique o dígito de quociente mais novo $(3)$ pelo divisor $6$ .

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

Etapa 24

Subtraia $18$ de $20$ .

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

Etapa 25

O resultado da divisão de $33.5 \div 0.6$ é $55.833 \dots$ .

$55.833 \dots$

		$5$	$5$	.	$8$
$6$	$3$	$3$	$5$	.	$0$
	$3$	$0$
		$3$	$5$
	$-$	$3$	$0$
			$5$	$0$
			$-$	$4$	$8$

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

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

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

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

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

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

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

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

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

		$5$	$5$	.	$8$
$6$	$3$	$3$	$5$	.	$0$
	$3$	$0$
		$3$	$5$
	$-$	$3$	$0$
			$5$	$0$
			$-$	$4$	$8$

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

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

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

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

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

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

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

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

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

		$5$	$5$	.	$8$
$6$	$3$	$3$	$5$	.	$0$
	$3$	$0$
		$3$	$5$
	$-$	$3$	$0$
			$5$	$0$
			$-$	$4$	$8$

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

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

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

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

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

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

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

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

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