355171 ÷ 31 
We're looking to find how many times 31 goes into 355171.

Going ahead to step 1:
When dividing 3 by 31, we get 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 31

Let's proceed to step 2:
When dividing 35 by 31, we get 1 with a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 31 from 35 and we're left with 4.
Take the next digit (5) from the dividend and append it to 4, then repeat: 45 / 31

Going ahead to step 3:
If we divide 45 by 31, we get 1 and a remainder of 14.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
Deduct 31 from 45 and we're left with 14.
Take the next digit (1) from the dividend and append it to 14, then repeat: 141 / 31

Advancing to step 4:
The number 31 fits into 141 4 times, leaving a remainder of 17.
Record the quotient 4 as the next digit in the result. 
Result so far: 114.0
The remainder is 17 after subtracting 124 from 141.
Take the next digit (7) from the dividend and append it to 17, then repeat: 177 / 31

Step 5:
When dividing 177 by 31, we get 5 with a remainder of 22.
Use 5 as the next digit of our solution. 
Result so far: 1145.0
If we take 155 away from 177, we end up with 22.
Grab the next digit (1) from the dividend, add it to 22, then carry on: 221 / 31

Going ahead to step 6:
The number 31 fits into 221 7 times, leaving a remainder of 4.
The number 7 becomes the next digit in our result. 
Result so far: 11457.0
If we take 217 away from 221, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 7:
The number 31 fits into 40 1 times, leaving a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 11457.1
If we subtract 31 from 40, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 8:
31 goes into 90 2 times with a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 11457.12
If we subtract 62 from 90, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 9:
If we divide 280 by 31, we get 9 and a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 11457.129
Subtract 279 from 280 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 10:
31 can be fit into 10 0 times, resulting in a remainder of 10.
The next digit of our result is 0. 
Result so far: 11457.129
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 11:
31 can be fit into 100 3 times, resulting in a remainder of 7.
The next digit of our result is 3. 
Result so far: 11457.12903
If we take 93 away from 100, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 12:
70 divided by 31 is 2 with a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 11457.129032
If we subtract 62 from 70, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 13:
31 goes into 80 2 times with a remainder of 18.
Use 2 as the next digit of our solution. 
Result so far: 11457.1290322
Subtract 62 from 80 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Our division results in 11457.1290322 with a remaining 1.8e-07.