We're dividing 105944 by 31 
Let's see how many times 31 fits into 105944.

On to step 1:
31 goes into 1 0 times with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 31

Let's proceed to step 2:
31 can be fit into 10 0 times, resulting in a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Append the next digit (5) from the dividend to 10 and continue with: 105 / 31

Going ahead to step 3:
If we divide 105 by 31, we get 3 and a remainder of 12.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtracting 93 from 105 leaves us with 12.
Bring next digit (9) of the dividend behind the 12 and repeat the process: 129 / 31

Advancing to step 4:
If we divide 129 by 31, we get 4 and a remainder of 5.
Put 4 as the next digit of the answer. 
Result so far: 34.0
If we take 124 away from 129, we end up with 5.
Take the next digit (4) from the dividend and append it to 5, then repeat: 54 / 31

Going ahead to step 5:
When dividing 54 by 31, we get 1 with a remainder of 23.
The next digit of our result is 1. 
Result so far: 341.0
Subtracting 31 from 54 leaves us with 23.
Bring next digit (4) of the dividend behind the 23 and repeat the process: 234 / 31

Advancing to step 6:
31 goes into 234 7 times with a remainder of 17.
Write down 7 as next digit of the result. 
Result so far: 3417.0
The remainder is 17 after subtracting 217 from 234.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 7:
When dividing 170 by 31, we get 5 with a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 3417.5
The remainder is 15 after subtracting 155 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 8:
The number 31 fits into 150 4 times, leaving a remainder of 26.
The next digit of our result is 4. 
Result so far: 3417.54
Subtracting 124 from 150 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 9:
31 can be fit into 260 8 times, resulting in a remainder of 12.
The next digit of our result is 8. 
Result so far: 3417.548
If we take 248 away from 260, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 10:
If we divide 120 by 31, we get 3 and a remainder of 27.
Record the quotient 3 as the next digit in the result. 
Result so far: 3417.5483
Subtracting 93 from 120 leaves us with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Going ahead to step 11:
31 goes into 270 8 times with a remainder of 22.
Record the quotient 8 as the next digit in the result. 
Result so far: 3417.54838
Deduct 248 from 270 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.

Let's proceed to step 12:
The number 31 fits into 220 7 times, leaving a remainder of 3.
The next digit of our result is 7. 
Result so far: 3417.548387
If we take 217 away from 220, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 13:
31 goes into 30 0 times with a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 3417.548387
Subtracting 0 from 30 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 14:
If we divide 300 by 31, we get 9 and a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 3417.54838709
If we subtract 279 from 300, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

The quotient of the division is 3417.54838709, and the remainder is 2.1e-08.