Here we will show you step-by-step with detailed explanation how to calculate 349 divided by 97 using long division.

Before you continue, note that in the problem 349 divided by 97, the numbers are defined as follows:

**349 = dividend**

**97 = divisor**

**Step 1:**

Start by setting it up with the divisor 97 on the left side and the dividend 349 on the right side like this:

9 | 7 | ⟌ | 3 | 4 | 9 |

**Step 2:**

The divisor (97) goes into the first digit of the dividend (3), 0 time(s). Therefore, put 0 on top:

0 | ||||||

9 | 7 | ⟌ | 3 | 4 | 9 |

**Step 3:**

Multiply the divisor by the result in the previous step (97 x 0 = 0) and write that answer below the dividend.

0 | ||||||

9 | 7 | ⟌ | 3 | 4 | 9 | |

0 |

**Step 4:**

Subtract the result in the previous step from the first digit of the dividend (3 - 0 = 3) and write the answer below.

0 | ||||||

9 | 7 | ⟌ | 3 | 4 | 9 | |

- | 0 | |||||

3 |

**Step 5:**

Move down the 2nd digit of the dividend (4) like this:

0 | ||||||

9 | 7 | ⟌ | 3 | 4 | 9 | |

- | 0 | |||||

3 | 4 |

**Step 6:**

The divisor (97) goes into the bottom number (34), 0 time(s). Therefore, put 0 on top:

0 | 0 | |||||

9 | 7 | ⟌ | 3 | 4 | 9 | |

- | 0 | |||||

3 | 4 |

**Step 7:**

Multiply the divisor by the result in the previous step (97 x 0 = 0) and write that answer at the bottom:

0 | 0 | |||||

9 | 7 | ⟌ | 3 | 4 | 9 | |

- | 0 | |||||

3 | 4 | |||||

0 |

**Step 8:**

Subtract the result in the previous step from the number written above it. (34 - 0 = 34) and write the answer at the bottom.

0 | 0 | |||||

9 | 7 | ⟌ | 3 | 4 | 9 | |

- | 0 | |||||

3 | 4 | |||||

- | 0 | |||||

3 | 4 |

**Step 9:**

Move down the last digit of the dividend (9) like this:

0 | 0 | |||||

9 | 7 | ⟌ | 3 | 4 | 9 | |

- | 0 | |||||

3 | 4 | |||||

- | 0 | |||||

3 | 4 | 9 |

**Step 10:**

The divisor (97) goes into the bottom number (349), 3 time(s). Therefore put 3 on top:

0 | 0 | 3 | ||||

9 | 7 | ⟌ | 3 | 4 | 9 | |

- | 0 | |||||

3 | 4 | |||||

- | 0 | |||||

3 | 4 | 9 |

**Step 11:**

Multiply the divisor by the result in the previous step (97 x 3 = 291) and write the answer at the bottom:

0 | 0 | 3 | ||||

9 | 7 | ⟌ | 3 | 4 | 9 | |

- | 0 | |||||

3 | 4 | |||||

- | 0 | |||||

3 | 4 | 9 | ||||

2 | 9 | 1 |

**Step 12:**

Subtract the result in the previous step from the number written above it. (349 - 291 = 58) and write the answer at the bottom.

0 | 0 | 3 | ||||

9 | 7 | ⟌ | 3 | 4 | 9 | |

- | 0 | |||||

3 | 4 | |||||

- | 0 | |||||

3 | 4 | 9 | ||||

- | 2 | 9 | 1 | |||

5 | 8 |

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 349 divided by 97 calculated using Long Division is:

**3**

**58 Remainder**

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If you enter 349 divided by 97 into a calculator, you will get:

**3.5979**

The answer to 349 divided by 97 can also be written as a mixed fraction as follows:

**3 58/97**

Note that the numerator in the fraction above is the remainder and the denominator is the divisor.

**How to calculate 349 divided by 98 using long division**

Here is the next division problem we solved with long division.

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