Pré-álgebra Exemplos

$40 \div 0.3$

Etapa 1

Estabeleça o problema de divisão em formato de divisão longa.

$0$

$3$

$0$

$4$

$0$

Etapa 2

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

$3$

$0$

$4$

$0$

Etapa 3

Divida $40$ por $30$ . Coloque esse dígito no quociente no topo do símbolo de divisão.

			$1$
$3$	$0$	$4$	$0$	$0$	$0$

Etapa 4

Multiplique o dígito de quociente mais novo $(1)$ pelo divisor $30$ .

			$1$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$

Etapa 5

Subtraia $30$ de $40$ .

			$1$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$

Etapa 6

Reduza o próximo número do dividendo.

			$1$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$

Etapa 7

Divida $100$ por $30$ . Coloque esse dígito no quociente no topo do símbolo de divisão.

			$1$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$

Etapa 8

Multiplique o dígito de quociente mais novo $(3)$ pelo divisor $30$ .

			$1$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$

Etapa 9

Subtraia $90$ de $100$ .

			$1$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$

Etapa 10

Reduza o próximo número do dividendo.

			$1$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$

Etapa 11

Divida $100$ por $30$ . Coloque esse dígito no quociente no topo do símbolo de divisão.

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$

Etapa 12

Multiplique o dígito de quociente mais novo $(3)$ pelo divisor $30$ .

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$

Etapa 13

Subtraia $90$ de $100$ .

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$

Etapa 14

Adicione $0$ ao final do dividendo.

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$

Etapa 15

Reduza o próximo número do dividendo.

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$

Etapa 16

Divida $100$ por $30$ . Coloque esse dígito no quociente no topo do símbolo de divisão.

			$1$	$3$	$3$	.	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$

Etapa 17

Multiplique o dígito de quociente mais novo $(3)$ pelo divisor $30$ .

			$1$	$3$	$3$	.	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
				$-$		$9$	$0$

Etapa 18

Subtraia $90$ de $100$ .

			$1$	$3$	$3$	.	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
				$-$		$9$	$0$
						$1$	$0$

Etapa 19

Adicione $0$ ao final do dividendo.

			$1$	$3$	$3$	.	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
				$-$		$9$	$0$
						$1$	$0$

Etapa 20

Reduza o próximo número do dividendo.

			$1$	$3$	$3$	.	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
				$-$		$9$	$0$
						$1$	$0$	$0$

Etapa 21

Divida $100$ por $30$ . Coloque esse dígito no quociente no topo do símbolo de divisão.

			$1$	$3$	$3$	.	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
				$-$		$9$	$0$
						$1$	$0$	$0$

Etapa 22

Multiplique o dígito de quociente mais novo $(3)$ pelo divisor $30$ .

			$1$	$3$	$3$	.	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
				$-$		$9$	$0$
						$1$	$0$	$0$
					$-$		$9$	$0$

Etapa 23

Subtraia $90$ de $100$ .

			$1$	$3$	$3$	.	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
				$-$		$9$	$0$
						$1$	$0$	$0$
					$-$		$9$	$0$
							$1$	$0$

Etapa 24

Adicione $0$ ao final do dividendo.

			$1$	$3$	$3$	.	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
				$-$		$9$	$0$
						$1$	$0$	$0$
					$-$		$9$	$0$
							$1$	$0$

Etapa 25

Reduza o próximo número do dividendo.

			$1$	$3$	$3$	.	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
				$-$		$9$	$0$
						$1$	$0$	$0$
					$-$		$9$	$0$
							$1$	$0$	$0$

Etapa 26

Divida $100$ por $30$ . Coloque esse dígito no quociente no topo do símbolo de divisão.

			$1$	$3$	$3$	.	$3$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
				$-$		$9$	$0$
						$1$	$0$	$0$
					$-$		$9$	$0$
							$1$	$0$	$0$

Etapa 27

Multiplique o dígito de quociente mais novo $(3)$ pelo divisor $30$ .

			$1$	$3$	$3$	.	$3$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
				$-$		$9$	$0$
						$1$	$0$	$0$
					$-$		$9$	$0$
							$1$	$0$	$0$
						$-$		$9$	$0$

Etapa 28

Subtraia $90$ de $100$ .

			$1$	$3$	$3$	.	$3$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
				$-$		$9$	$0$
						$1$	$0$	$0$
					$-$		$9$	$0$
							$1$	$0$	$0$
						$-$		$9$	$0$
								$1$	$0$

Etapa 29

O resultado da divisão de $40 \div 0.3$ é $133.333 \dots$ .

$133.333 \dots$

			$1$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$

			$1$	$3$	$3$	.	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$

			$1$	$3$	$3$	.	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
				$-$		$9$	$0$

			$1$	$3$	$3$	.	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
				$-$		$9$	$0$
						$1$	$0$

			$1$	$3$	$3$	.	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
				$-$		$9$	$0$
						$1$	$0$

			$1$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$

			$1$	$3$	$3$	.	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$

			$1$	$3$	$3$	.	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
				$-$		$9$	$0$

			$1$	$3$	$3$	.	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
				$-$		$9$	$0$
						$1$	$0$

			$1$	$3$	$3$	.	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
				$-$		$9$	$0$
						$1$	$0$

			$1$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$

			$1$	$3$	$3$	.	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$

			$1$	$3$	$3$	.	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
				$-$		$9$	$0$

			$1$	$3$	$3$	.	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
				$-$		$9$	$0$
						$1$	$0$

			$1$	$3$	$3$	.	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
				$-$		$9$	$0$
						$1$	$0$