We divide 35901 by 31
We're looking to find how many times 31 goes into 35901.

Advancing to step 1:
When dividing 3 by 31, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 31

Going ahead to step 2:
31 goes into 35 1 times with a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 31 from 35 to get 4.
Grab the next digit (9) from the dividend, add it to 4, then carry on: 49 / 31

Going ahead to step 3:
If we divide 49 by 31, we get 1 and a remainder of 18.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
Deduct 31 from 49 and we're left with 18.
Bring next digit (0) of the dividend behind the 18 and repeat the process: 180 / 31

Step 4:
When dividing 180 by 31, we get 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 115.0
Subtracting 155 from 180 leaves us with 25.
Take the next digit (1) from the dividend and append it to 25, then repeat: 251 / 31

Moving on to step 5:
When dividing 251 by 31, we get 8 with a remainder of 3.
The number 8 becomes the next digit in our result. 
Result so far: 1158.0
If we take 248 away from 251, 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.

Going ahead to step 6:
31 can be fit into 30 0 times, resulting in a remainder of 30.
The next digit of our result is 0. 
Result so far: 1158.0
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.

Advancing to step 7:
31 goes into 300 9 times with a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 1158.09
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.

Moving on to step 8:
31 can be fit into 210 6 times, resulting in a remainder of 24.
Put 6 as the next digit of the answer. 
Result so far: 1158.096
If we take 186 away from 210, we end up 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.

Advancing to step 9:
31 can be fit into 240 7 times, resulting in a remainder of 23.
Put 7 as the next digit of the answer. 
Result so far: 1158.0967
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.

On to step 10:
31 can be fit into 230 7 times, resulting in a remainder of 13.
The next digit of our result is 7. 
Result so far: 1158.09677
Subtracting 217 from 230 leaves us 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 final outcome is 1158.09677, with a leftover of 1.3e-05.