Here is a great link to a long division video which explains long division in a user friendly way which will suit parents and students alike! https://www.youtube.com/watch?v=HdU_rf7eMTI
Remember, long division is just like short division except you write down the product under the dividend each time and subtract it to get a remainder. You then bring down the next number in the dividend and divide the divisor into it again.
For example, take the problem of 4173 divided by 13.
13 does not go into 4 so put a 0 on top of the 4 above the line. You would then group the 4 and the 1 together and divide 13 in.
Use estimation and rough work here if you need it.
You will find that the closest you can get to 41 is by multiplying 13 by 3 to get 39.
Put a 3 on top of the 1 (in the dividend 4173)
Put the product, 39 under the 41 and subtract. You will get a remainder of 2.
Now, bring the 7 in the 4173 down to the 2 to make 27 (use an arrow) You are now dividing 13 into 27.
Next, think how many times 13 will go into 27. You will find it goes twice.
Again, put the 2 above the 7 and subtract the product of 13 x 2 from 27 to give you 1.
Bring the last digit down to the 1 and make 13.
13 will go into 13 once so put a 1 above the dividend and subtract 13 from 13 to give you zero.
You have worked out that 13 goes into 4173 321 times.
You are trying to get zero so keep going until you do. If you get a remainder that is less than the divisor then that is your remainder.
