Let's divide 889106 by 13
We want to figure out the number of times 889106 can be divided by 13.

Going ahead to step 1:
13 goes into 8 0 times with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Bring next digit (8) of the dividend behind the 8 and repeat the process: 88 / 13

On to step 2:
When dividing 88 by 13, we get 6 with a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtracting 78 from 88 leaves us with 10.
Take the next digit (9) from the dividend and append it to 10, then repeat: 109 / 13

On to step 3:
The number 13 fits into 109 8 times, leaving a remainder of 5.
The number 8 becomes the next digit in our result. 
Result so far: 68.0
Deduct 104 from 109 and we're left with 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 13

Going ahead to step 4:
When dividing 51 by 13, we get 3 with a remainder of 12.
Use 3 as the next digit of our solution. 
Result so far: 683.0
Subtract 39 from 51 to get 12.
Grab the next digit (0) from the dividend, add it to 12, then carry on: 120 / 13

On to step 5:
13 goes into 120 9 times with a remainder of 3.
The next digit of our result is 9. 
Result so far: 6839.0
If we subtract 117 from 120, we get 3.
Include the next digit (6) from the dividend after 3, then repeat: 36 / 13

Advancing to step 6:
The number 13 fits into 36 2 times, leaving a remainder of 10.
Use 2 as the next digit of our solution. 
Result so far: 68392.0
If we take 26 away from 36, 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.

Advancing to step 7:
When dividing 100 by 13, we get 7 with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 68392.7
Deduct 91 from 100 and we're left 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.

Step 8:
13 goes into 90 6 times with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 68392.76
Deduct 78 from 90 and we're left 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.

On to step 9:
13 can be fit into 120 9 times, resulting in a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 68392.769
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.

Going ahead to step 10:
The number 13 fits into 30 2 times, leaving a remainder of 4.
The next digit of our result is 2. 
Result so far: 68392.7692
Subtracting 26 from 30 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 11:
The number 13 fits into 40 3 times, leaving a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 68392.76923
If we subtract 39 from 40, we get 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:
The number 13 fits into 10 0 times, leaving a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 68392.76923
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.

Going ahead to step 13:
When dividing 100 by 13, we get 7 with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 68392.7692307
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.

Advancing to step 14:
13 goes into 90 6 times with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 68392.76923076
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.

Our division results in 68392.76923076 with a remaining 1.2e-08.