Solve the following division problems using long division: 1. 651 / 21 2. 645 / 15 3. 992 / 45

Question

ScanSolve AI Tutor · Accepted Answer

Here are the solutions using long division.

1. $651 \div 21$

Divide the first part of the dividend (65) by the divisor (21).
21 goes into 65 two times. $21 \times 3 = 63$ .
Subtract 63 from 65: $65 - 63 = 2$ .
Bring down the next digit of the dividend (1) to form 21.
Now divide 21 by 21.
21 goes into 21 one time. $21 \times 1 = 21$ .
Subtract 21 from 21: $21 - 21 = 0$ .

The quotient is 31 with a remainder of 0.
$\begin{array}{r} 31 \\ 21 \overline{) 651} \\ -63 \downarrow \\ \hline 21 \\ -21 \\ \hline 0 \end{array}$
The answer is $\boxed{31}$ .

2. $645 \div 15$
Divide the first part of the dividend (64) by the divisor (15).
15 goes into 64 four times. $15 \times 4 = 60$ .
Subtract 60 from 64: $64 - 60 = 4$ .
Bring down the next digit of the dividend (5) to form 45.
Now divide 45 by 15.
15 goes into 45 three times. $15 \times 3 = 45$ .
Subtract 45 from 45: $45 - 45 = 0$ .

The quotient is 43 with a remainder of 0.
$\begin{array}{r} 43 \\ 15 \overline{) 645} \\ -60 \downarrow \\ \hline 45 \\ -45 \\ \hline 0 \end{array}$
The answer is $\boxed{43}$ .

3. $992 \div 45$
Divide the first part of the dividend (99) by the divisor (45).
45 goes into 99 two times. $45 \times 2 = 90$ .
Subtract 90 from 99: $99 - 90 = 9$ .
Bring down the next digit of the dividend (2) to form 92.
Now divide 92 by 45.
45 goes into 92 two times. $45 \times 2 = 90$ .
Subtract 90 from 92: $92 - 90 = 2$ .

The quotient is 22 with a remainder of 2.
$\begin{array}{r} 22 \\ 45 \overline{) 992} \\ -90 \downarrow \\ \hline 92 \\ -90 \\ \hline 2 \end{array}$
The answer is $\boxed{22 \text{ R } 2}$ or $\boxed{22 \frac{2}{45}}$ .

Solve the following division problems using long division: 1. 651 / 21 2. 645 / 15 3. 992 / 45

Step-by-step solution

Divide the first part of the dividend (65) by the divisor (21).

Bring down the next digit of the dividend (1) to form 21.

Divide the first part of the dividend (64) by the divisor (15).

Bring down the next digit of the dividend (5) to form 45.

Divide the first part of the dividend (99) by the divisor (45).

Bring down the next digit of the dividend (2) to form 92.

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