We look at the division of 8734 by 72 
We're looking to find how many times 72 goes into 8734.

On to step 1:
72 goes into 8 0 times with a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Bring next digit (7) of the dividend behind the 8 and repeat the process: 87 / 72

Step 2:
72 can be fit into 87 1 times, resulting in a remainder of 15.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 72 from 87, we get 15.
Bring next digit (3) of the dividend behind the 15 and repeat the process: 153 / 72

Going ahead to step 3:
153 divided by 72 is 2 with a remainder of 9.
Write down 2 as next digit of the result. 
Result so far: 12.0
The remainder is 9 after subtracting 144 from 153.
Grab the next digit (4) from the dividend, add it to 9, then carry on: 94 / 72

Step 4:
The number 72 fits into 94 1 times, leaving a remainder of 22.
Record the quotient 1 as the next digit in the result. 
Result so far: 121.0
Deduct 72 from 94 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 5:
The number 72 fits into 220 3 times, leaving a remainder of 4.
Use 3 as the next digit of our solution. 
Result so far: 121.3
Subtract 216 from 220 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 6:
72 goes into 40 0 times with a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 121.3
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 7:
If we divide 400 by 72, we get 5 and a remainder of 40.
Record the quotient 5 as the next digit in the result. 
Result so far: 121.305
Subtract 360 from 400 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 8:
400 divided by 72 is 5 with a remainder of 40.
The number 5 becomes the next digit in our result. 
Result so far: 121.3055
If we take 360 away from 400, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The final result is 121.3055 with a remainder of 0.0004.