The problem is to divide 7583 by 21 using long division. The image shows the first steps of the division, with 75 being divided by 21.

1. Problem Description

The problem is to divide 7583 by 21 using long division. The image shows the first steps of the division, with 75 being divided by

2

1.

2. Solution Steps

First, we divide 75 by

2

1. $75 \div 21 \approx 3$. So the first digit of the quotient is

3. $3 \times 21 = 63$.

Subtract 63 from 75, which gives $75 - 63 = 12$.

Bring down the next digit, 8, to make the number

1

2

8. Now we divide 128 by

2

1. $128 \div 21 \approx 6$.

$6 \times 21 = 126$.

Subtract 126 from 128, which gives $128 - 126 = 2$.

Bring down the last digit, 3, to make the number

2

3. Now we divide 23 by

2

1. $23 \div 21 = 1$.

$1 \times 21 = 21$.

Subtract 21 from 23, which gives $23 - 21 = 2$.

The remainder is

2. Therefore, $7583 \div 21 = 361$ with a remainder of

2.

3. Final Answer

$7583 \div 21 = 361 R 2$