We're dividing 696629 by 13 
We want to divide 696629 by 13.

On to step 1:
When dividing 6 by 13, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Append the next digit (9) from the dividend to 6 and continue with: 69 / 13

Let's proceed to step 2:
13 can be fit into 69 5 times, resulting in a remainder of 4.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we subtract 65 from 69, we get 4.
Include the next digit (6) from the dividend after 4, then repeat: 46 / 13

Going ahead to step 3:
When dividing 46 by 13, we get 3 with a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 53.0
If we subtract 39 from 46, we get 7.
Grab the next digit (6) from the dividend, add it to 7, then carry on: 76 / 13

On to step 4:
13 can be fit into 76 5 times, resulting in a remainder of 11.
The number 5 becomes the next digit in our result. 
Result so far: 535.0
If we subtract 65 from 76, we get 11.
Fetch the next digit (2) from the dividend, attach it to 11 and continue: 112 / 13

Let's proceed to step 5:
13 goes into 112 8 times with a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 5358.0
Subtract 104 from 112 to get 8.
Take the next digit (9) from the dividend and append it to 8, then repeat: 89 / 13

Going ahead to step 6:
If we divide 89 by 13, we get 6 and a remainder of 11.
Put 6 as the next digit of the answer. 
Result so far: 53586.0
If we take 78 away from 89, 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.

Going ahead to step 7:
The number 13 fits into 110 8 times, leaving a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 53586.8
The remainder is 6 after subtracting 104 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 8:
13 goes into 60 4 times with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 53586.84
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:
13 goes into 80 6 times with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 53586.846
If we subtract 78 from 80, we 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.

Advancing to step 10:
20 divided by 13 is 1 with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 53586.8461
If we subtract 13 from 20, we 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.

Let's proceed to step 11:
If we divide 70 by 13, we get 5 and a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 53586.84615
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 12:
When dividing 50 by 13, we get 3 with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 53586.846153
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.
Record the quotient 8 as the next digit in the result. 
Result so far: 53586.8461538
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 14:
If we divide 60 by 13, we get 4 and a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 53586.84615384
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.

In conclusion, the division gives 53586.84615384 with a balance of 8e-09.