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.