We're dividing 775172 by 13 
We're looking to find how many times 13 goes into 775172.

Let's proceed to step 1:
When dividing 7 by 13, we get 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 13

Let's proceed to step 2:
13 can be fit into 77 5 times, resulting in a remainder of 12.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
The remainder is 12 after subtracting 65 from 77.
Bring next digit (5) of the dividend behind the 12 and repeat the process: 125 / 13

Let's proceed to step 3:
If we divide 125 by 13, we get 9 and a remainder of 8.
Use 9 as the next digit of our solution. 
Result so far: 59.0
The remainder is 8 after subtracting 117 from 125.
Include the next digit (1) from the dividend after 8, then repeat: 81 / 13

Going ahead to step 4:
When dividing 81 by 13, we get 6 with a remainder of 3.
The next digit of our result is 6. 
Result so far: 596.0
Subtracting 78 from 81 leaves us with 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 13

On to step 5:
If we divide 37 by 13, we get 2 and a remainder of 11.
Put 2 as the next digit of the answer. 
Result so far: 5962.0
If we take 26 away from 37, we end up with 11.
Append the next digit (2) from the dividend to 11 and continue with: 112 / 13

On to step 6:
13 can be fit into 112 8 times, resulting in a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 59628.0
Subtracting 104 from 112 leaves us 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.

Advancing to step 7:
If we divide 80 by 13, we get 6 and a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 59628.6
Deduct 78 from 80 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 8:
13 goes into 20 1 times with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 59628.61
The remainder is 7 after subtracting 13 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 9:
If we divide 70 by 13, we get 5 and a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 59628.615
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.

Moving on to step 10:
13 goes into 50 3 times with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 59628.6153
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 11:
13 can be fit into 110 8 times, resulting in a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 59628.61538
If we subtract 104 from 110, we 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.

Step 12:
13 goes into 60 4 times with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 59628.615384
The remainder is 8 after subtracting 52 from 60.
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:
When dividing 80 by 13, we get 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 59628.6153846
Subtracting 78 from 80 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 14:
20 divided by 13 is 1 with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 59628.61538461
The remainder is 7 after subtracting 13 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

After the division, we end up with 59628.61538461 and a remainder of 7e-09.