476906 ÷ 13 
We want to divide 476906 by 13.

Going ahead to step 1:
The number 13 fits into 4 0 times, leaving a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Grab the next digit (7) from the dividend, add it to 4, then carry on: 47 / 13

Step 2:
47 divided by 13 is 3 with a remainder of 8.
Write down 3 as next digit of the result. 
Result so far: 3.0
The remainder is 8 after subtracting 39 from 47.
Bring next digit (6) of the dividend behind the 8 and repeat the process: 86 / 13

On to step 3:
The number 13 fits into 86 6 times, leaving a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 36.0
If we subtract 78 from 86, we get 8.
Grab the next digit (9) from the dividend, add it to 8, then carry on: 89 / 13

Moving on to step 4:
89 divided by 13 is 6 with a remainder of 11.
Record the quotient 6 as the next digit in the result. 
Result so far: 366.0
The remainder is 11 after subtracting 78 from 89.
Append the next digit (0) from the dividend to 11 and continue with: 110 / 13

Let's proceed to step 5:
When dividing 110 by 13, we get 8 with a remainder of 6.
The next digit of our result is 8. 
Result so far: 3668.0
Subtracting 104 from 110 leaves us with 6.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 13

Let's proceed to step 6:
When dividing 66 by 13, we get 5 with a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 36685.0
The remainder is 1 after subtracting 65 from 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 7:
13 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 36685.0
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.

Step 8:
100 divided by 13 is 7 with a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 36685.07
Subtracting 91 from 100 leaves us 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 9:
When dividing 90 by 13, we get 6 with a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 36685.076
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.

Step 10:
If we divide 120 by 13, we get 9 and a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 36685.0769
Subtract 117 from 120 to get 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 11:
13 can be fit into 30 2 times, resulting in a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 36685.07692
Deduct 26 from 30 and we're left 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.

Step 12:
40 divided by 13 is 3 with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 36685.076923
Subtract 39 from 40 to 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 13:
10 divided by 13 is 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 36685.076923
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.

On to step 14:
The number 13 fits into 100 7 times, leaving a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 36685.07692307
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.

In conclusion, the division gives 36685.07692307 with a balance of 9e-09.