We're dividing 704637 by 13 
We want to figure out the number of times 704637 can be divided by 13.

Advancing to step 1:
13 goes into 7 0 times with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Include the next digit (0) from the dividend after 7, then repeat: 70 / 13

Moving on to step 2:
13 can be fit into 70 5 times, resulting in a remainder of 5.
The next digit of our result is 5. 
Result so far: 5.0
Subtracting 65 from 70 leaves us with 5.
Include the next digit (4) from the dividend after 5, then repeat: 54 / 13

Moving on to step 3:
13 can be fit into 54 4 times, resulting in a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 54.0
Subtracting 52 from 54 leaves us with 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 13

On to step 4:
26 divided by 13 is 2 with a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 542.0
Deduct 26 from 26 and we're left with 0.
Include the next digit (3) from the dividend after 0, then repeat: 3 / 13

Moving on to step 5:
The number 13 fits into 3 0 times, leaving a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 5420.0
If we take 0 away from 3, we end up with 3.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 13

Going ahead to step 6:
When dividing 37 by 13, we get 2 with a remainder of 11.
Use 2 as the next digit of our solution. 
Result so far: 54202.0
The remainder is 11 after subtracting 26 from 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 7:
When dividing 110 by 13, we get 8 with a remainder of 6.
The next digit of our result is 8. 
Result so far: 54202.8
Subtracting 104 from 110 leaves us 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.

Going ahead to step 8:
13 goes into 60 4 times with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 54202.84
Deduct 52 from 60 and we're left 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.

Moving on to step 9:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 54202.846
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.

Moving on to step 10:
When dividing 20 by 13, we get 1 with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 54202.8461
If we take 13 away from 20, we end up 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.

Let's proceed to step 11:
The number 13 fits into 70 5 times, leaving a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 54202.84615
Deduct 65 from 70 and we're left with 5.
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 12:
The number 13 fits into 50 3 times, leaving a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 54202.846153
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 13:
13 goes into 110 8 times with a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 54202.8461538
Deduct 104 from 110 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.

Step 14:
13 goes into 60 4 times with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 54202.84615384
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.

Our division results in 54202.84615384 with a remaining 8e-09.