Preparazione all'algebra Esempi

$\frac{3808080}{7}$

Passaggio 1

Imposta il problema della divisione nel formato in colonna.

$7$

$3$

$8$

$0$

$8$

$0$

$8$

$0$

Passaggio 2

Dividi $38$ per $7$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

		$5$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$

Passaggio 3

Moltiplica la cifra quoziente appena ottenuta $(5)$ per il divisore $7$ .

		$5$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$

Passaggio 4

Sottrai $35$ da $38$ .

		$5$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$

Passaggio 5

Abbassa il numero successivo del dividendo.

		$5$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$

Passaggio 6

Dividi $30$ per $7$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

		$5$	$4$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$

Passaggio 7

Moltiplica la cifra quoziente appena ottenuta $(4)$ per il divisore $7$ .

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

Passaggio 8

Sottrai $28$ da $30$ .

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

Passaggio 9

Abbassa il numero successivo del dividendo.

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

Passaggio 10

Dividi $28$ per $7$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

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

Passaggio 11

Moltiplica la cifra quoziente appena ottenuta $(4)$ per il divisore $7$ .

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

Passaggio 12

Sottrai $28$ da $28$ .

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

Passaggio 13

Abbassa il numero successivo del dividendo.

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

Passaggio 14

Dividi $0$ per $7$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

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

Passaggio 15

Moltiplica la cifra quoziente appena ottenuta $(0)$ per il divisore $7$ .

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

Passaggio 16

Sottrai $0$ da $0$ .

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

Passaggio 17

Abbassa il numero successivo del dividendo.

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

Passaggio 18

Dividi $8$ per $7$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

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

Passaggio 19

Moltiplica la cifra quoziente appena ottenuta $(1)$ per il divisore $7$ .

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

Passaggio 20

Sottrai $7$ da $8$ .

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

Passaggio 21

Abbassa il numero successivo del dividendo.

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

Passaggio 22

Dividi $10$ per $7$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

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

Passaggio 23

Moltiplica la cifra quoziente appena ottenuta $(1)$ per il divisore $7$ .

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

Passaggio 24

Sottrai $7$ da $10$ .

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

Passaggio 25

Il risultato della divisione di $\frac{3808080}{7}$ è $544011$ con un resto di $3$ .

$544011 \frac{3}{7}$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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