857624 ÷ 13 
Let's see how many times 13 fits into 857624.

Moving on to step 1:
13 goes into 8 0 times with a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Bring next digit (5) of the dividend behind the 8 and repeat the process: 85 / 13

Advancing to step 2:
When dividing 85 by 13, we get 6 with a remainder of 7.
Write down 6 as next digit of the result. 
Result so far: 6.0
The remainder is 7 after subtracting 78 from 85.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 13

Advancing to step 3:
77 divided by 13 is 5 with a remainder of 12.
Put 5 as the next digit of the answer. 
Result so far: 65.0
Deduct 65 from 77 and we're left with 12.
Append the next digit (6) from the dividend to 12 and continue with: 126 / 13

Let's proceed to step 4:
13 goes into 126 9 times with a remainder of 9.
Record the quotient 9 as the next digit in the result. 
Result so far: 659.0
Subtract 117 from 126 to get 9.
Fetch the next digit (2) from the dividend, attach it to 9 and continue: 92 / 13

Let's proceed to step 5:
92 divided by 13 is 7 with a remainder of 1.
The next digit of our result is 7. 
Result so far: 6597.0
Subtract 91 from 92 to get 1.
Take the next digit (4) from the dividend and append it to 1, then repeat: 14 / 13

Going ahead to step 6:
14 divided by 13 is 1 with a remainder of 1.
The next digit of our result is 1. 
Result so far: 65971.0
If we take 13 away from 14, 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.

Let's proceed to step 7:
13 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 65971.0
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.

On to step 8:
13 goes into 100 7 times with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 65971.07
If we take 91 away from 100, we end up 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.

Going ahead to step 9:
When dividing 90 by 13, we get 6 with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 65971.076
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.

Advancing to step 10:
The number 13 fits into 120 9 times, leaving a remainder of 3.
The next digit of our result is 9. 
Result so far: 65971.0769
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.

Advancing to step 11:
When dividing 30 by 13, we get 2 with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 65971.07692
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.

Step 12:
If we divide 40 by 13, we get 3 and a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 65971.076923
The remainder is 1 after subtracting 39 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 13:
10 divided by 13 is 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 65971.076923
Subtracting 0 from 10 leaves us 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.

On to step 14:
13 goes into 100 7 times with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 65971.07692307
If we take 91 away from 100, we end up 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.

In conclusion, the division gives 65971.07692307 with a balance of 9e-09.