177233 ÷ 31 
We're looking to find how many times 31 goes into 177233.

Advancing to step 1:
31 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 31

Going ahead to step 2:
31 can be fit into 17 0 times, resulting in a remainder of 17.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 17 after subtracting 0 from 17.
Grab the next digit (7) from the dividend, add it to 17, then carry on: 177 / 31

Let's proceed to step 3:
177 divided by 31 is 5 with a remainder of 22.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtracting 155 from 177 leaves us with 22.
Grab the next digit (2) from the dividend, add it to 22, then carry on: 222 / 31

Moving on to step 4:
222 divided by 31 is 7 with a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 57.0
Deduct 217 from 222 and we're left with 5.
Grab the next digit (3) from the dividend, add it to 5, then carry on: 53 / 31

Let's proceed to step 5:
31 can be fit into 53 1 times, resulting in a remainder of 22.
Write down 1 as next digit of the result. 
Result so far: 571.0
If we take 31 away from 53, we end up with 22.
Fetch the next digit (3) from the dividend, attach it to 22 and continue: 223 / 31

Advancing to step 6:
223 divided by 31 is 7 with a remainder of 6.
The next digit of our result is 7. 
Result so far: 5717.0
Deduct 217 from 223 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 7:
31 goes into 60 1 times with a remainder of 29.
Put 1 as the next digit of the answer. 
Result so far: 5717.1
If we take 31 away from 60, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 8:
31 goes into 290 9 times with a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 5717.19
If we subtract 279 from 290, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 9:
When dividing 110 by 31, we get 3 with a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 5717.193
The remainder is 17 after subtracting 93 from 110.
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 10:
The number 31 fits into 170 5 times, leaving a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 5717.1935
Subtract 155 from 170 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 11:
31 can be fit into 150 4 times, resulting in a remainder of 26.
Record the quotient 4 as the next digit in the result. 
Result so far: 5717.19354
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.

On to step 12:
If we divide 260 by 31, we get 8 and a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 5717.193548
Deduct 248 from 260 and we're left 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.

Advancing to step 13:
31 can be fit into 120 3 times, resulting in a remainder of 27.
The number 3 becomes the next digit in our result. 
Result so far: 5717.1935483
Deduct 93 from 120 and we're left 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.

Step 14:
If we divide 270 by 31, we get 8 and a remainder of 22.
Write down 8 as next digit of the result. 
Result so far: 5717.19354838
If we subtract 248 from 270, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

After the division, we end up with 5717.19354838 and a remainder of 2.2e-08.