# 4.05 Division with larger numbers

Lesson

## Ideas

Are you comfortable solving  division using the algorithm  , when there is no remainder?

### Examples

#### Example 1

Find the value of 856 \div 8.

Worked Solution
Create a strategy

Use the short division algorithm.

Apply the idea

Set up the algorithm.

8 goes into 8 once, so we put a 1 in the hundreds column.

8 goes into 5 zero times with 5 remaining, so we put a 0 in the tens column and carry the 5 to the units column.

8 goes into 56 seven times, so we put a 7 in the units column.

856 \div 8 = 107

Idea summary

When you are dividing, you always start with the digit that is farthest to the left. If you get to a digit that you can't divide into, make sure you put a placeholder zero in the answer, before moving to the next digit.

## Short division with larger numbers

### Examples

#### Example 2

Find the value of 3244 \div 4.

Worked Solution
Create a strategy

Use the short division algorithm.

Apply the idea

Set up the algorithm.

4 goes into 3 zero times with 3 remaining, so we put a 0 in the thousands column and carry the 3 to the hundreds column.

4 goes into 32 eight times, so we put 8 in the hundreds column.

4 goes into 4 one time, so we put a 1 in the tens column.

4 goes into 4 one time, so we put a 1 in the units column.

3244 \div 4 = 811

Idea summary

When you are dividing, you always start with the digit that is farthest to the left.

## Short division with remainders

### Examples

#### Example 3

Find the value of 264\div16.

Worked Solution
Create a strategy

Use the division algorithm.

Apply the idea

Set up the algorithm.

16 goes into 2 zero times with 2 remaining, so we put a 0 in the hundreds column and carry the 2 to the tens column.

16 goes into 26 one time with 10 remaining, so we put a 1 in the tens column and carry the 10 to the units column.

16 goes into 104 six times with 8 remaining, so we put a 6 in the units column and the remainder is 8.

264\div16=16 remainder 8.

Idea summary

When we solve division, if we cannot share the total (dividend) equally, we end up with a remainder. The remainder can also be expressed as a fraction or decimal.

### Outcomes

#### MA3-6NA

selects and applies appropriate strategies for multiplication and division, and applies the order of operations to calculations involving more than one operation