 Divide 4 digit number by 1 digit number resulting in decimal answer

Lesson

Dividing with remainders

When we divide numbers, we are essentially sharing. Sometimes we can share equally so that there are no remainders. Other times, we do have remainders, and need to express our answer as a decimal. We have looked at how to solve division problems that result in decimal answers when we divide by a one-digit number.

Strategies to help us

Now let's imagine you are dividing by a two-digit number, such as $315\div25$315÷​25. We know that $100$100 is $4\times25$4×25 so $300$300 is $3$3 groups of $4\times25$4×25, or $12$12 groups of $25$25. There is still $15$15 left though, and we can't make a group of $25$25 from $15$15. We can, however, express $\frac{15}{25}$1525 as a decimal.

In our first video, we work through an example like this, as well as using the strategy of dividing by $10$10, to help when we need to divide by $20$20. Dividing by $10$10 is something we use often, and a great strategy to help us here.