We're dividing 745177 by 13 
We want to figure out the number of times 745177 can be divided by 13.

Advancing to step 1:
The number 13 fits into 7 0 times, leaving a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Include the next digit (4) from the dividend after 7, then repeat: 74 / 13

Advancing to step 2:
The number 13 fits into 74 5 times, leaving a remainder of 9.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Subtract 65 from 74 to get 9.
Grab the next digit (5) from the dividend, add it to 9, then carry on: 95 / 13

Moving on to step 3:
95 divided by 13 is 7 with a remainder of 4.
Write down 7 as next digit of the result. 
Result so far: 57.0
Subtract 91 from 95 to get 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 13

On to step 4:
41 divided by 13 is 3 with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 573.0
Deduct 39 from 41 and we're left with 2.
Take the next digit (7) from the dividend and append it to 2, then repeat: 27 / 13

On to step 5:
13 goes into 27 2 times with a remainder of 1.
The next digit of our result is 2. 
Result so far: 5732.0
The remainder is 1 after subtracting 26 from 27.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 13

Moving on to step 6:
17 divided by 13 is 1 with a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 57321.0
Deduct 13 from 17 and we're left 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.

On to step 7:
13 can be fit into 40 3 times, resulting in a remainder of 1.
The next digit of our result is 3. 
Result so far: 57321.3
If we take 39 away from 40, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 8:
The number 13 fits into 10 0 times, leaving a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 57321.3
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.

Going ahead to step 9:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 57321.307
Deduct 91 from 100 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 10:
The number 13 fits into 90 6 times, leaving a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 57321.3076
If we subtract 78 from 90, 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.

On to step 11:
13 goes into 120 9 times with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 57321.30769
Subtract 117 from 120 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 12:
The number 13 fits into 30 2 times, leaving a remainder of 4.
The next digit of our result is 2. 
Result so far: 57321.307692
The remainder is 4 after subtracting 26 from 30.
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 13:
If we divide 40 by 13, we get 3 and a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 57321.3076923
Subtracting 39 from 40 leaves us with 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 14:
13 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 57321.3076923
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

After the division, we end up with 57321.3076923 and a remainder of 1e-08.