In these lessons, we will look at some examples of the long division of whole numbers.

**Related Pages**

Long Division

Division Worksheets

Worksheets: 3 digits ÷ 1 digit (without remainder)

Worksheets: 3 digits ÷ 1 digit (with remainder)

Lessons For Grade 4

More Numbers Lessons

In division, the number called the **dividend** is divided by the
**divisor**, and the result is called **quotient**.

The following diagrams show the parts of a division: dividend, divisor, quotient, remainder. Scroll down the page for more examples and solutions long division.

**Example:**

**Solution:**

Step 1: Start on the left. Check if first digit, 5, is
bigger than the divisor 12. Since 5 is not, we need to take the next digit as well.

51 divided by 12 gives 4 as the quotient since 12 × 4 = 48.

Write 4 above 1.

Step 2: Write the number 48 below 51. Subtract 48 from 51 to get a remainder of 3. Bring down the next digit, 6, and write it after 3.

Step 3: Now repeat from Step 1. 36 divided by 12, gives 3. Write 3 above 6. Write the number 36 below 36. Subtract 36 from 36 to get a remainder of 0.

Your answer is then 43.

**Example:**

**Solution:**

Step 1: Start on the left. Check if first digit, 9, is bigger
than the divisor 12. Since 9 is not, we need to take the next digit as well.

99 divided by 12 gives 8 as the quotient since 12 × 8 = 96.

Write 8 above 9.

Step 2: Write the number 96 below 99. Subtract 96 from 99 to
get a remainder of 3. Bring down the next digit, 3, and write it after 3.

Step 3: Now repeat from Step 1. 33 divided by 12, gives 2. Write 2 above 3. Write the number 24 below 33. Subtract 24 from 33 to get a remainder of 9.

Your answer is then 82 remainder 9.

TAKE NOTE: For division, the divisor cannot be 0. For example, 23 ÷ 0 is not permissible.

**Long Division with 1-Digit Divisors**

**Long Division with 2-Digit Divisors**

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