880172 ÷ 13 
We're looking to find how many times 13 goes into 880172.

Let's proceed to step 1:
The number 13 fits into 8 0 times, leaving a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Grab the next digit (8) from the dividend, add it to 8, then carry on: 88 / 13

Step 2:
13 can be fit into 88 6 times, resulting in a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we take 78 away from 88, we end up with 10.
Take the next digit (0) from the dividend and append it to 10, then repeat: 100 / 13

Let's proceed to step 3:
The number 13 fits into 100 7 times, leaving a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 67.0
Subtracting 91 from 100 leaves us with 9.
Grab the next digit (1) from the dividend, add it to 9, then carry on: 91 / 13

On to step 4:
If we divide 91 by 13, we get 7 and a remainder of 0.
Record the quotient 7 as the next digit in the result. 
Result so far: 677.0
The remainder is 0 after subtracting 91 from 91.
Fetch the next digit (7) from the dividend, attach it to 0 and continue: 7 / 13

Advancing to step 5:
If we divide 7 by 13, we get 0 and a remainder of 7.
The next digit of our result is 0. 
Result so far: 6770.0
The remainder is 7 after subtracting 0 from 7.
Take the next digit (2) from the dividend and append it to 7, then repeat: 72 / 13

Going ahead to step 6:
The number 13 fits into 72 5 times, leaving a remainder of 7.
The next digit of our result is 5. 
Result so far: 67705.0
Deduct 65 from 72 and we're left 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 7:
13 can be fit into 70 5 times, resulting in a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 67705.5
The remainder is 5 after subtracting 65 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 8:
50 divided by 13 is 3 with a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 67705.53
If we subtract 39 from 50, 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.

Let's proceed to step 9:
If we divide 110 by 13, we get 8 and a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 67705.538
Subtract 104 from 110 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 10:
60 divided by 13 is 4 with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 67705.5384
If we take 52 away from 60, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 11:
13 can be fit into 80 6 times, resulting in a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 67705.53846
Subtract 78 from 80 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 12:
13 goes into 20 1 times with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 67705.538461
Subtract 13 from 20 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 13:
When dividing 70 by 13, we get 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 67705.5384615
If we subtract 65 from 70, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 14:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 67705.53846153
If we take 39 away from 50, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

The final outcome is 67705.53846153, with a leftover of 1.1e-08.