One way to divide a number with more than one digit
by a one-digit number is by using partial quotients.
Step 1: Set up the problem.
Step 2: Think of a multiple of 3 that is less than 3,164. An easy multiple of 3 is 3,000 (3 × 1,000 = 3,000). Write 1,000 to the right of the long line, and write 3,000 under 3,164. Subtract 3,000 from 3,164.
Step 3: Repeat the process with 164. A multiple of 3 that is less than 164 is 150 (3 × 50 = 150).
| 3 | 3164 | 1000 |
| - 3000 |
| 164 | 50 |
| - 150 |
| 14 |
Step 4: Repeat the process with 14. A multiple of 3 that is less than 14 is 12 (3 × 4 = 12).
| 3 | 3164 | 1000 |
| - 3000 |
| 164 | 50 |
| - 150 |
| 14 | 4 |
| - 12 |
| 2 |
Step 5: Add the numbers on the right.
1,000 + 50 + 4 = 1,054
Since 2 is not divisible by 3, the remainder is 2.
So, 3,164 ÷ 3 = 1,054 R2.
4th Grade Math - Division Lesson