When dividing decimals, it can be helpful to use a place-value chart to align the numbers properly and then apply long division techniques to determine the result.
For example, if we have 13.34 ÷ 4.6

- Multiply both the divisor (4.6) and the dividend (13.34) by 10 to eliminate the decimal in the divisor. This gives us 133.4 ÷ 46
- Set up a long division equation by placing 133.4 under the division bar and 46 outside
- Begin by estimating how many times 46 can go into the first few digits of the dividend (133). In this case, 46 goes into 133 less than 2 times
- Multiply 46 by 2 to get 92. Subtract 92 from 133, leaving you with 41. Bring down the next digit (4), making it 414
- Now, determine how many times 46 goes into 414, which is 9 times
- Move the decimal place to the right once, since we moved it left to start. Therefore, the answer is 2.9