We're dividing 704350 by 13 
We want to figure out the number of times 704350 can be divided by 13.

Moving on to step 1:
13 can be fit into 7 0 times, resulting in a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Bring next digit (0) of the dividend behind the 7 and repeat the process: 70 / 13

Step 2:
The number 13 fits into 70 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we subtract 65 from 70, we get 5.
Grab the next digit (4) from the dividend, add it to 5, then carry on: 54 / 13

On to step 3:
When dividing 54 by 13, we get 4 with a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 54.0
Subtract 52 from 54 to get 2.
Fetch the next digit (3) from the dividend, attach it to 2 and continue: 23 / 13

Moving on to step 4:
If we divide 23 by 13, we get 1 and a remainder of 10.
The next digit of our result is 1. 
Result so far: 541.0
Deduct 13 from 23 and we're left with 10.
Include the next digit (5) from the dividend after 10, then repeat: 105 / 13

Advancing to step 5:
13 goes into 105 8 times with a remainder of 1.
Record the quotient 8 as the next digit in the result. 
Result so far: 5418.0
Subtracting 104 from 105 leaves us with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 13

Going ahead to step 6:
If we divide 10 by 13, we get 0 and a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 54180.0
If we take 0 away from 10, we end up 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 7:
The number 13 fits into 100 7 times, leaving a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 54180.7
Subtract 91 from 100 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 8:
If we divide 90 by 13, we get 6 and a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 54180.76
The remainder is 12 after subtracting 78 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 9:
The number 13 fits into 120 9 times, leaving a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 54180.769
Subtracting 117 from 120 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 10:
30 divided by 13 is 2 with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 54180.7692
If we subtract 26 from 30, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 11:
The number 13 fits into 40 3 times, leaving a remainder of 1.
The next digit of our result is 3. 
Result so far: 54180.76923
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.

On to step 12:
If we divide 10 by 13, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 54180.76923
Subtract 0 from 10 to 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.

Step 13:
100 divided by 13 is 7 with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 54180.7692307
The remainder is 9 after subtracting 91 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 14:
90 divided by 13 is 6 with a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 54180.76923076
Subtracting 78 from 90 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

In conclusion, the division gives 54180.76923076 with a balance of 1.2e-08.