Matemática básica Exemplos

238.75 \div 10.5

$238.75 \div 10.5$

Etapa 1

Estabeleça o problema de divisão em formato de divisão longa.

1

$1$

0

$0$

5

$5$

0

$0$

2

$2$

3

$3$

8

$8$

7

$7$

5

$5$

Etapa 2

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

1

$1$

0

$0$

5

$5$

0

$0$

2

$2$

3

$3$

8

$8$

7

$7$

5

$5$

Etapa 3

Divida

2387

$2387$ por

1050

$1050$ . Coloque esse dígito no quociente no topo do símbolo de divisão.

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

Etapa 4

Multiplique o dígito de quociente mais novo

(2)

$(2)$ pelo divisor

1050

$1050$ .

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

Etapa 5

Subtraia

2100

$2100$ de

2387

$2387$ .

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

Etapa 6

Reduza o próximo número do dividendo.

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

Etapa 7

Divida

2875

$2875$ por

1050

$1050$ . Coloque esse dígito no quociente no topo do símbolo de divisão.

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

Etapa 8

Multiplique o dígito de quociente mais novo

(2)

$(2)$ pelo divisor

1050

$1050$ .

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

Etapa 9

Subtraia

2100

$2100$ de

2875

$2875$ .

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

Etapa 10

Adicione

0

$0$ ao final do dividendo.

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

Etapa 11

Reduza o próximo número do dividendo.

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

Etapa 12

Divida

7750

$7750$ por

1050

$1050$ . Coloque esse dígito no quociente no topo do símbolo de divisão.

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

Etapa 13

Multiplique o dígito de quociente mais novo

(7)

$(7)$ pelo divisor

1050

$1050$ .

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

Etapa 14

Subtraia

7350

$7350$ de

7750

$7750$ .

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

Etapa 15

Adicione

0

$0$ ao final do dividendo.

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

Etapa 16

Reduza o próximo número do dividendo.

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

Etapa 17

Divida

4000

$4000$ por

1050

$1050$ . Coloque esse dígito no quociente no topo do símbolo de divisão.

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

Etapa 18

Multiplique o dígito de quociente mais novo

(3)

$(3)$ pelo divisor

1050

$1050$ .

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

Etapa 19

Subtraia

3150

$3150$ de

4000

$4000$ .

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

Etapa 20

Adicione

0

$0$ ao final do dividendo.

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

Etapa 21

Reduza o próximo número do dividendo.

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

Etapa 22

Divida

8500

$8500$ por

1050

$1050$ . Coloque esse dígito no quociente no topo do símbolo de divisão.

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

Etapa 23

Multiplique o dígito de quociente mais novo

(8)

$(8)$ pelo divisor

1050

$1050$ .

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

Etapa 24

Subtraia

8400

$8400$ de

8500

$8500$ .

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

Etapa 25

O resultado da divisão de

238.75 \div 10.5

$238.75 \div 10.5$ é

22.738 \dots

$22.738 \dots$ .

22.738 \dots

$22.738 \dots$