## The Basics of Division

Division is a fundamental arithmetic operation that involves splitting a quantity into equal parts. The result of division is called the quotient, which represents how many times one number can be divided by another.

### The Problem

If you’re here, you’re probably wondering what 7000 divided by 24 is. There are a few ways to approach this problem, but we’ll cover the most common method below.

## The Long Division Method

The long division method involves breaking down the dividend (in this case, 7000) into smaller parts that can be divided by the divisor (in this case, 24).

### Step 1: Place the Dividend and Divisor

Write the dividend (7000) under the division symbol (÷) and the divisor (24) outside the symbol.

7000 ÷ 24

### Step 2: Divide the First Digit

Divide the first digit of the dividend (7) by the divisor (24). The result is 0, so write 0 above the first digit of the dividend.

0

7000 ÷ 24

### Step 3: Multiply and Subtract

Multiply the divisor (24) by the first digit of the quotient (0). The result is 0, so write 0 below the first digit of the dividend.

0

7000 ÷ 24

0

Subtract the product (0) from the first three digits of the dividend (700). The result is 700. Write this below the 0.

0

7000 ÷ 24

0

700

### Step 4: Bring Down the Next Digit

Bring down the next digit of the dividend (0) next to the remainder (700).

0

7000 ÷ 24

0

700

0

### Step 5: Divide the Next Digit

Divide the first two digits of the dividend (70) by the divisor (24). The result is 2, so write 2 above the second digit of the dividend.

0

7000 ÷ 24

0

700

20

### Step 6: Multiply and Subtract

Multiply the divisor (24) by the second digit of the quotient (2). The result is 48, so write 48 below the first two digits of the dividend.

0

7000 ÷ 24

0

700

20

48

Subtract the product (48) from the first three digits of the dividend (720). The result is 24. Write this below the 48.

0

7000 ÷ 24

0

700

20

48

24

### Step 7: Bring Down the Next Digit

Bring down the next digit of the dividend (0) next to the remainder (24).

0

7000 ÷ 24

0

700

20

48

24

0

### Step 8: Divide the Next Digit

Divide the first two digits of the dividend (240) by the divisor (24). The result is 10, so write 10 above the third digit of the dividend.

0

7000 ÷ 24

0

700

20

48

24

0

10

### Step 9: Multiply and Subtract

Multiply the divisor (24) by the third digit of the quotient (10). The result is 240, so write 240 below the first three digits of the dividend.

0

7000 ÷ 24

0

700

20

48

24

0

10

240

Subtract the product (240) from the first four digits of the dividend (2400). The result is 120. Write this below the 240.

0

7000 ÷ 24

0

700

20

48

24

0

10

240

120

### Step 10: Bring Down the Next Digit

Bring down the next digit of the dividend (0) next to the remainder (120).

0

7000 ÷ 24

0

700

20

48

24

0

10

240

120

0

### Step 11: Divide the Next Digit

Divide the first two digits of the dividend (120) by the divisor (24). The result is 5, so write 5 above the fourth digit of the dividend.

0

7000 ÷ 24

0

700

20

48

24

0

10

240

120

0

5

### Step 12: Multiply and Subtract

Multiply the divisor (24) by the fourth digit of the quotient (5). The result is 120, so write 120 below the first four digits of the dividend.

0

7000 ÷ 24

0

700

20

48

24

0

10

240

120

0

5

120

Subtract the product (120) from the first five digits of the dividend (1200). The result is 80. Write this below the 120.

0

7000 ÷ 24

0

700

20

48

24

0

10

240

120

0

5

120

80

### Step 13: Bring Down the Next Digit

Bring down the next digit of the dividend (0) next to the remainder (80).

0

7000 ÷ 24

0

700

20

48

24

0

10

240

120

0

5

120

80

0

### Step 14: Divide the Next Digit

Divide the first two digits of the dividend