906913 ÷ 13 
We're looking to find how many times 13 goes into 906913.

Advancing to step 1:
If we divide 9 by 13, we get 0 and a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Bring next digit (0) of the dividend behind the 9 and repeat the process: 90 / 13

Moving on to step 2:
13 can be fit into 90 6 times, resulting in a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we subtract 78 from 90, we get 12.
Bring next digit (6) of the dividend behind the 12 and repeat the process: 126 / 13

Step 3:
When dividing 126 by 13, we get 9 with a remainder of 9.
Record the quotient 9 as the next digit in the result. 
Result so far: 69.0
If we take 117 away from 126, we end up with 9.
Grab the next digit (9) from the dividend, add it to 9, then carry on: 99 / 13

Step 4:
If we divide 99 by 13, we get 7 and a remainder of 8.
The next digit of our result is 7. 
Result so far: 697.0
Deduct 91 from 99 and we're left with 8.
Append the next digit (1) from the dividend to 8 and continue with: 81 / 13

Advancing to step 5:
81 divided by 13 is 6 with a remainder of 3.
The number 6 becomes the next digit in our result. 
Result so far: 6976.0
Subtract 78 from 81 to get 3.
Grab the next digit (3) from the dividend, add it to 3, then carry on: 33 / 13

Going ahead to step 6:
33 divided by 13 is 2 with a remainder of 7.
Record the quotient 2 as the next digit in the result. 
Result so far: 69762.0
The remainder is 7 after subtracting 26 from 33.
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.
The next digit of our result is 5. 
Result so far: 69762.5
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.

Let's proceed to step 8:
When dividing 50 by 13, we get 3 with a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 69762.53
If we take 39 away from 50, we end up 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:
When dividing 110 by 13, we get 8 with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 69762.538
The remainder is 6 after subtracting 104 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 10:
13 goes into 60 4 times with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 69762.5384
Subtracting 52 from 60 leaves us with 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:
13 goes into 80 6 times with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 69762.53846
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 12:
13 goes into 20 1 times with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 69762.538461
The remainder is 7 after subtracting 13 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 13:
13 can be fit into 70 5 times, resulting in a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 69762.5384615
If we take 65 away from 70, we end up 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.

Let's proceed to step 14:
The number 13 fits into 50 3 times, leaving a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 69762.53846153
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.

After the division, we end up with 69762.53846153 and a remainder of 1.1e-08.