859970 ÷ 13 
We're looking to find how many times 13 goes into 859970.

Advancing to step 1:
8 divided by 13 is 0 with a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Include the next digit (5) from the dividend after 8, then repeat: 85 / 13

On to step 2:
13 goes into 85 6 times with a remainder of 7.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we subtract 78 from 85, we get 7.
Bring next digit (9) of the dividend behind the 7 and repeat the process: 79 / 13

Advancing to step 3:
When dividing 79 by 13, we get 6 with a remainder of 1.
The number 6 becomes the next digit in our result. 
Result so far: 66.0
If we take 78 away from 79, we end up with 1.
Include the next digit (9) from the dividend after 1, then repeat: 19 / 13

Step 4:
When dividing 19 by 13, we get 1 with a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 661.0
Deduct 13 from 19 and we're left with 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 13

Moving on to step 5:
13 goes into 67 5 times with a remainder of 2.
The next digit of our result is 5. 
Result so far: 6615.0
The remainder is 2 after subtracting 65 from 67.
Fetch the next digit (0) from the dividend, attach it to 2 and continue: 20 / 13

Step 6:
If we divide 20 by 13, we get 1 and a remainder of 7.
The next digit of our result is 1. 
Result so far: 66151.0
Subtract 13 from 20 to 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.

Step 7:
The number 13 fits into 70 5 times, leaving a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 66151.5
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.

Step 8:
If we divide 50 by 13, we get 3 and a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 66151.53
Subtracting 39 from 50 leaves us 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.

Step 9:
110 divided by 13 is 8 with a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 66151.538
Subtract 104 from 110 to get 6.
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 10:
When dividing 60 by 13, we get 4 with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 66151.5384
If we subtract 52 from 60, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 11:
80 divided by 13 is 6 with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 66151.53846
Subtract 78 from 80 to 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.

On to step 12:
13 goes into 20 1 times with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 66151.538461
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 13:
When dividing 70 by 13, we get 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 66151.5384615
Subtracting 65 from 70 leaves us 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.

Advancing to step 14:
13 goes into 50 3 times with a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 66151.53846153
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

In conclusion, the division gives 66151.53846153 with a balance of 1.1e-08.