Dividing numbers without a calculator can be done using the traditional long division method. Here’s a step-by-step guide:
- Set Up the Problem: Write the dividend (the number to be divided) inside the division bracket and the divisor (the number you are dividing by) outside the bracket.
- Divide: Determine how many times the divisor fits into the first digit or set of digits of the dividend. Write this number above the division bracket.
- Multiply: Multiply the divisor by the number you just wrote above the bracket. Write the result below the dividend.
- Subtract: Subtract the result from the dividend. Write the difference below.
- Bring Down the Next Digit: Bring down the next digit of the dividend and repeat the process until there are no more digits to bring down.
- Check for Remainder: If there is a remainder, write it as a fraction or decimal, depending on the context.
For example, to divide 125 by 5:
- Set up the problem: 5 ) 125
- Divide: 5 fits into 12 two times. Write 2 above the bracket.
- Multiply: 5 × 2 = 10. Write 10 below 12.
- Subtract: 12 – 10 = 2. Write 2 below.
- Bring down the next digit: Bring down the 5 to make 25.
- Divide: 5 fits into 25 five times. Write 5 above the bracket.
- Multiply: 5 × 5 = 25. Write 25 below 25.
- Subtract: 25 – 25 = 0. There is no remainder.
So, 125 divided by 5 is 25.