We look at the division of 889417 by 13 
Our goal is to divide 889417 by 13.

Going ahead 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
Subtract 0 from 8 to get 8.
Bring next digit (8) of the dividend behind the 8 and repeat the process: 88 / 13

Going ahead to step 2:
13 goes into 88 6 times with a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 6.0
The remainder is 10 after subtracting 78 from 88.
Append the next digit (9) from the dividend to 10 and continue with: 109 / 13

On to step 3:
13 goes into 109 8 times with a remainder of 5.
Use 8 as the next digit of our solution. 
Result so far: 68.0
Deduct 104 from 109 and we're left with 5.
Grab the next digit (4) from the dividend, add it to 5, then carry on: 54 / 13

Let's proceed to step 4:
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: 684.0
If we take 52 away from 54, we end up with 2.
Grab the next digit (1) from the dividend, add it to 2, then carry on: 21 / 13

On to step 5:
The number 13 fits into 21 1 times, leaving a remainder of 8.
Put 1 as the next digit of the answer. 
Result so far: 6841.0
Subtracting 13 from 21 leaves us with 8.
Grab the next digit (7) from the dividend, add it to 8, then carry on: 87 / 13

Moving on to step 6:
If we divide 87 by 13, we get 6 and a remainder of 9.
Record the quotient 6 as the next digit in the result. 
Result so far: 68416.0
The remainder is 9 after subtracting 78 from 87.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 7:
When dividing 90 by 13, we get 6 with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 68416.6
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.

On to step 8:
If we divide 120 by 13, we get 9 and a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 68416.69
If we take 117 away from 120, we end up 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 9:
13 can be fit into 30 2 times, resulting in a remainder of 4.
The next digit of our result is 2. 
Result so far: 68416.692
The remainder is 4 after subtracting 26 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 10:
40 divided by 13 is 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 68416.6923
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.

On to step 11:
13 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 68416.6923
If we subtract 0 from 10, we 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.

Advancing to step 12:
100 divided by 13 is 7 with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 68416.692307
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.

Advancing to step 13:
90 divided by 13 is 6 with a remainder of 12.
The next digit of our result is 6. 
Result so far: 68416.6923076
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.

Moving on to step 14:
13 can be fit into 120 9 times, resulting in a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 68416.69230769
Deduct 117 from 120 and we're left 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.

In conclusion, the division gives 68416.69230769 with a balance of 3e-09.