Long division refers to when a number (dividend) is divided by a number (divisor) that has two or more digits in it.
To do long division there are 6 simple steps for this example.
1. Write down your number sentence in a bus stop
2. Next, you write down the multiples of your divisor (17) e.g. 17, 34, 51, 68, 85, 102
3. Then you find out how many groups of 17 fit into 4 which is 0 so you put zero on the answer line.
4. After that you find out how many groups of 17 fit into 44 by looking in your multiples list so 2x 17 =34 so you would put the 2 on the answer line and take away 34 from 44 which is equalled to 10.
5. Afterwards you will find out how many groups of 17 fit into 10 which is 0 so you will bring down the 5 to the 10 to make 105 then you will find out how many groups of 17 fit into 105 which is 6 because 17x 6 = 102 and take away 102 from 105 which equals to 3 and put 6 on the answer line.
6. Finally you find out how many groups of 17 fit into 3 which is 0 so you see if there is a number to bring down but in this case there is not so the 3 is a remainder and the answer would be 26r3.
Division is just repeated subtraction, and that’s what you’re performing with long division – repeatedly taking away groups of the divisor!