477722 ÷ 13 
We want to figure out the number of times 477722 can be divided by 13.

Step 1:
13 goes into 4 0 times with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Fetch the next digit (7) from the dividend, attach it to 4 and continue: 47 / 13

Moving on to step 2:
13 goes into 47 3 times with a remainder of 8.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtracting 39 from 47 leaves us with 8.
Take the next digit (7) from the dividend and append it to 8, then repeat: 87 / 13

Step 3:
13 goes into 87 6 times with a remainder of 9.
The next digit of our result is 6. 
Result so far: 36.0
If we take 78 away from 87, we end up with 9.
Grab the next digit (7) from the dividend, add it to 9, then carry on: 97 / 13

Let's proceed to step 4:
13 goes into 97 7 times with a remainder of 6.
The next digit of our result is 7. 
Result so far: 367.0
If we subtract 91 from 97, we get 6.
Take the next digit (2) from the dividend and append it to 6, then repeat: 62 / 13

Moving on to step 5:
When dividing 62 by 13, we get 4 with a remainder of 10.
The next digit of our result is 4. 
Result so far: 3674.0
Subtracting 52 from 62 leaves us with 10.
Take the next digit (2) from the dividend and append it to 10, then repeat: 102 / 13

On to step 6:
13 can be fit into 102 7 times, resulting in a remainder of 11.
Record the quotient 7 as the next digit in the result. 
Result so far: 36747.0
If we subtract 91 from 102, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 7:
If we divide 110 by 13, we get 8 and a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 36747.8
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.

Let's proceed to step 8:
When dividing 60 by 13, we get 4 with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 36747.84
If we take 52 away from 60, we end up 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 9:
The number 13 fits into 80 6 times, leaving a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 36747.846
Subtracting 78 from 80 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 10:
20 divided by 13 is 1 with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 36747.8461
Deduct 13 from 20 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 11:
If we divide 70 by 13, we get 5 and a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 36747.84615
Subtract 65 from 70 to get 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 12:
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: 36747.846153
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.

Moving on to step 13:
13 goes into 110 8 times with a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 36747.8461538
Subtract 104 from 110 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 14:
The number 13 fits into 60 4 times, leaving a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 36747.84615384
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.

In conclusion, the division gives 36747.84615384 with a balance of 8e-09.