Long division is a method used to divide larger numbers that cannot be easily divided mentally. It involves breaking down the division process into a series of easier steps.

Here’s a step-by-step guide to long division:

### Example: Divide 625 ÷ 5

1. **Divide the first digit**: Start with the first digit of the dividend (625). 
   - 6 ÷ 5 = 1 (since 5 goes into 6 one time).
   - Write the 1 above the 6.
   - Multiply 1 by 5 and subtract: 6 - 5 = 1.

2. **Bring down the next digit**: Bring down the next digit (2).
   - Now, you have 12.
   - Divide 12 by 5: 12 ÷ 5 = 2.
   - Write the 2 above the 2 in 625.
   - Multiply 2 by 5 and subtract: 12 - 10 = 2.

3. **Bring down the final digit**: Bring down the next digit (5).
   - Now, you have 25.
   - Divide 25 by 5: 25 ÷ 5 = 5.
   - Write the 5 above the 5.
   - Multiply 5 by 5 and subtract: 25 - 25 = 0.

The quotient is 125, and the remainder is 0, so:
\[ 625 ÷ 5 = 125 \]

### Summary of Steps:
1. **Divide**: Take the first digit that can be divided by the divisor.
2. **Multiply**: Multiply the result by the divisor.
3. **Subtract**: Subtract the result from the current number.
4. **Bring down**: Bring down the next digit.
5. **Repeat**: Repeat the process until all digits are used.

Would you like more details or have any questions?

Here are five relative questions you can explore:
1. How do you handle division when there’s a remainder?
2. How is long division done with decimals?
3. What’s the difference between long division and synthetic division?
4. How does long division work when dividing polynomials?
5. How can you check your result after completing a long division problem?

**Tip**: Always ensure each step (division, multiplication, and subtraction) is completed before bringing down the next digit to avoid mistakes.

Learn how to solve long division problems with a detailed step-by-step solution. This guide walks through dividing 625 by 5, covering key arithmetic concepts such as division, subtraction, and multiplication. Suitable for students in Grades 4-6.

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