Pré-álgebra Exemplos

$805 \div 25.9$

Etapa 1

Estabeleça o problema de divisão em formato de divisão longa.

$2$

$5$

$9$

$8$

$0$

$5$

Etapa 2

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

$2$

$5$

$9$

$8$

$0$

$5$

$0$

Etapa 3

Divida $805$ por $259$ . Coloque esse dígito no quociente no topo do símbolo de divisão.

					$3$
$2$	$5$	$9$	$8$	$0$	$5$	$0$

Etapa 4

Multiplique o dígito de quociente mais novo $(3)$ pelo divisor $259$ .

					$3$
$2$	$5$	$9$	$8$	$0$	$5$	$0$
		$-$	$7$	$7$	$7$

Etapa 5

Subtraia $777$ de $805$ .

					$3$
$2$	$5$	$9$	$8$	$0$	$5$	$0$
		$-$	$7$	$7$	$7$
				$2$	$8$

Etapa 6

Reduza o próximo número do dividendo.

					$3$
$2$	$5$	$9$	$8$	$0$	$5$	$0$
		$-$	$7$	$7$	$7$
				$2$	$8$	$0$

Etapa 7

Divida $280$ por $259$ . Coloque esse dígito no quociente no topo do símbolo de divisão.

					$3$	$1$
$2$	$5$	$9$	$8$	$0$	$5$	$0$
		$-$	$7$	$7$	$7$
				$2$	$8$	$0$

Etapa 8

Multiplique o dígito de quociente mais novo $(1)$ pelo divisor $259$ .

					$3$	$1$
$2$	$5$	$9$	$8$	$0$	$5$	$0$
		$-$	$7$	$7$	$7$
				$2$	$8$	$0$
			$-$	$2$	$5$	$9$

Etapa 9

Subtraia $259$ de $280$ .

					$3$	$1$
$2$	$5$	$9$	$8$	$0$	$5$	$0$
		$-$	$7$	$7$	$7$
				$2$	$8$	$0$
			$-$	$2$	$5$	$9$
					$2$	$1$

Etapa 10

Adicione $0$ ao final do dividendo.

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

Etapa 11

Reduza o próximo número do dividendo.

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

Etapa 12

Divida $210$ por $259$ . Coloque esse dígito no quociente no topo do símbolo de divisão.

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

Etapa 13

Multiplique o dígito de quociente mais novo $(0)$ pelo divisor $259$ .

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

Etapa 14

Subtraia $0$ de $210$ .

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

Etapa 15

Adicione $0$ ao final do dividendo.

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

Etapa 16

Reduza o próximo número do dividendo.

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

Etapa 17

Divida $2100$ por $259$ . Coloque esse dígito no quociente no topo do símbolo de divisão.

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

Etapa 18

Multiplique o dígito de quociente mais novo $(8)$ pelo divisor $259$ .

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

Etapa 19

Subtraia $2072$ de $2100$ .

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

Etapa 20

Adicione $0$ ao final do dividendo.

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

Etapa 21

Reduza o próximo número do dividendo.

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

Etapa 22

Divida $280$ por $259$ . Coloque esse dígito no quociente no topo do símbolo de divisão.

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

Etapa 23

Multiplique o dígito de quociente mais novo $(1)$ pelo divisor $259$ .

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

Etapa 24

Subtraia $259$ de $280$ .

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

Etapa 25

O resultado da divisão de $805 \div 25.9$ é $31.081 \dots$ .

$31.081 \dots$

					$3$	$1$
$2$	$5$	$9$	$8$	$0$	$5$	$0$
		$-$	$7$	$7$	$7$
				$2$	$8$	$0$
			$-$	$2$	$5$	$9$

					$3$	$1$
$2$	$5$	$9$	$8$	$0$	$5$	$0$
		$-$	$7$	$7$	$7$
				$2$	$8$	$0$
			$-$	$2$	$5$	$9$
					$2$	$1$

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

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

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

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

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

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

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

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

					$3$	$1$
$2$	$5$	$9$	$8$	$0$	$5$	$0$
		$-$	$7$	$7$	$7$
				$2$	$8$	$0$
			$-$	$2$	$5$	$9$

					$3$	$1$
$2$	$5$	$9$	$8$	$0$	$5$	$0$
		$-$	$7$	$7$	$7$
				$2$	$8$	$0$
			$-$	$2$	$5$	$9$
					$2$	$1$

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

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

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

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

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

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

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

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

					$3$	$1$
$2$	$5$	$9$	$8$	$0$	$5$	$0$
		$-$	$7$	$7$	$7$
				$2$	$8$	$0$
			$-$	$2$	$5$	$9$

					$3$	$1$
$2$	$5$	$9$	$8$	$0$	$5$	$0$
		$-$	$7$	$7$	$7$
				$2$	$8$	$0$
			$-$	$2$	$5$	$9$
					$2$	$1$

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

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

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

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

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

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

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

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