91177 ÷ 31 
We want to figure out the number of times 91177 can be divided by 31.

Advancing to step 1:
When dividing 9 by 31, we get 0 with a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Take the next digit (1) from the dividend and append it to 9, then repeat: 91 / 31

Moving on to step 2:
If we divide 91 by 31, we get 2 and a remainder of 29.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtracting 62 from 91 leaves us with 29.
Fetch the next digit (1) from the dividend, attach it to 29 and continue: 291 / 31

Advancing to step 3:
When dividing 291 by 31, we get 9 with a remainder of 12.
The next digit of our result is 9. 
Result so far: 29.0
If we subtract 279 from 291, we get 12.
Bring next digit (7) of the dividend behind the 12 and repeat the process: 127 / 31

Let's proceed to step 4:
When dividing 127 by 31, we get 4 with a remainder of 3.
Use 4 as the next digit of our solution. 
Result so far: 294.0
Subtracting 124 from 127 leaves us with 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 31

Step 5:
37 divided by 31 is 1 with a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 2941.0
Deduct 31 from 37 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 6:
If we divide 60 by 31, we get 1 and a remainder of 29.
Put 1 as the next digit of the answer. 
Result so far: 2941.1
If we subtract 31 from 60, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 7:
31 can be fit into 290 9 times, resulting in a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 2941.19
Subtract 279 from 290 to 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 8:
If we divide 110 by 31, we get 3 and a remainder of 17.
Write down 3 as next digit of the result. 
Result so far: 2941.193
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 9:
31 goes into 170 5 times with a remainder of 15.
The next digit of our result is 5. 
Result so far: 2941.1935
Subtracting 155 from 170 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 10:
150 divided by 31 is 4 with a remainder of 26.
The next digit of our result is 4. 
Result so far: 2941.19354
Deduct 124 from 150 and we're left 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 11:
31 goes into 260 8 times with a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 2941.193548
If we subtract 248 from 260, we get 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 12:
When dividing 120 by 31, we get 3 with a remainder of 27.
Use 3 as the next digit of our solution. 
Result so far: 2941.1935483
If we subtract 93 from 120, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 13:
When dividing 270 by 31, we get 8 with a remainder of 22.
The next digit of our result is 8. 
Result so far: 2941.19354838
The remainder is 22 after subtracting 248 from 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

The final outcome is 2941.19354838, with a leftover of 2.2e-08.