906229 divided by 13 
We want to figure out the number of times 906229 can be divided by 13.

Let's proceed to step 1:
The number 13 fits into 9 0 times, leaving a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Fetch the next digit (0) from the dividend, attach it to 9 and continue: 90 / 13

Moving on to step 2:
If we divide 90 by 13, we get 6 and a remainder of 12.
The next digit of our result is 6. 
Result so far: 6.0
If we subtract 78 from 90, we get 12.
Append the next digit (6) from the dividend to 12 and continue with: 126 / 13

On to step 3:
13 can be fit into 126 9 times, resulting in a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 69.0
If we take 117 away from 126, we end up with 9.
Bring next digit (2) of the dividend behind the 9 and repeat the process: 92 / 13

Going ahead to step 4:
When dividing 92 by 13, we get 7 with a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 697.0
If we take 91 away from 92, we end up with 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 13

Advancing to step 5:
12 divided by 13 is 0 with a remainder of 12.
Write down 0 as next digit of the result. 
Result so far: 6970.0
If we subtract 0 from 12, we get 12.
Grab the next digit (9) from the dividend, add it to 12, then carry on: 129 / 13

Going ahead to step 6:
The number 13 fits into 129 9 times, leaving a remainder of 12.
The next digit of our result is 9. 
Result so far: 69709.0
Subtract 117 from 129 to 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 7:
13 can be fit into 120 9 times, resulting in a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 69709.9
The remainder is 3 after subtracting 117 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 8:
The number 13 fits into 30 2 times, leaving a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 69709.92
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.

Going ahead to step 9:
13 goes into 40 3 times with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 69709.923
Deduct 39 from 40 and we're left 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.

Advancing to step 10:
10 divided by 13 is 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 69709.923
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.

Advancing to step 11:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 69709.92307
If we subtract 91 from 100, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 12:
The number 13 fits into 90 6 times, leaving a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 69709.923076
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.

Let's proceed to step 13:
13 can be fit into 120 9 times, resulting in a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 69709.9230769
The remainder is 3 after subtracting 117 from 120.
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 14:
13 goes into 30 2 times with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 69709.92307692
Subtract 26 from 30 to 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.

In conclusion, the division gives 69709.92307692 with a balance of 4e-09.