We look at the division of 109057 by 31 
We want to divide 109057 by 31.

Going ahead to step 1:
The number 31 fits into 1 0 times, leaving a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 31

Step 2:
31 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Grab the next digit (9) from the dividend, add it to 10, then carry on: 109 / 31

Moving on to step 3:
109 divided by 31 is 3 with a remainder of 16.
Put 3 as the next digit of the answer. 
Result so far: 3.0
The remainder is 16 after subtracting 93 from 109.
Fetch the next digit (0) from the dividend, attach it to 16 and continue: 160 / 31

Moving on to step 4:
When dividing 160 by 31, we get 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 35.0
Subtracting 155 from 160 leaves us with 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 31

Step 5:
55 divided by 31 is 1 with a remainder of 24.
Put 1 as the next digit of the answer. 
Result so far: 351.0
If we take 31 away from 55, we end up with 24.
Take the next digit (7) from the dividend and append it to 24, then repeat: 247 / 31

Going ahead to step 6:
31 can be fit into 247 7 times, resulting in a remainder of 30.
Record the quotient 7 as the next digit in the result. 
Result so far: 3517.0
If we subtract 217 from 247, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 7:
31 can be fit into 300 9 times, resulting in a remainder of 21.
The number 9 becomes the next digit in our result. 
Result so far: 3517.9
Deduct 279 from 300 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 8:
31 goes into 210 6 times with a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 3517.96
Subtracting 186 from 210 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 9:
When dividing 240 by 31, we get 7 with a remainder of 23.
Use 7 as the next digit of our solution. 
Result so far: 3517.967
If we subtract 217 from 240, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 10:
If we divide 230 by 31, we get 7 and a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 3517.9677
If we take 217 away from 230, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

The quotient of the division is 3517.9677, and the remainder is 0.00013.