477870 ÷ 13 
Let's see how many times 13 fits into 477870.

On 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
Subtract 0 from 4 to get 4.
Fetch the next digit (7) from the dividend, attach it to 4 and continue: 47 / 13

Let's proceed to step 2:
When dividing 47 by 13, we get 3 with a remainder of 8.
Write down 3 as next digit of the result. 
Result so far: 3.0
Deduct 39 from 47 and we're left with 8.
Include the next digit (7) from the dividend after 8, then repeat: 87 / 13

Let's proceed to step 3:
13 can be fit into 87 6 times, resulting in a remainder of 9.
Put 6 as the next digit of the answer. 
Result so far: 36.0
Subtracting 78 from 87 leaves us with 9.
Grab the next digit (8) from the dividend, add it to 9, then carry on: 98 / 13

Advancing to step 4:
If we divide 98 by 13, we get 7 and a remainder of 7.
Put 7 as the next digit of the answer. 
Result so far: 367.0
Subtract 91 from 98 to get 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 13

Moving on to step 5:
13 can be fit into 77 5 times, resulting in a remainder of 12.
The next digit of our result is 5. 
Result so far: 3675.0
Subtracting 65 from 77 leaves us with 12.
Grab the next digit (0) from the dividend, add it to 12, then carry on: 120 / 13

Advancing to step 6:
120 divided by 13 is 9 with a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 36759.0
If we take 117 away from 120, we end up 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.

Moving on to step 7:
When dividing 30 by 13, we get 2 with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 36759.2
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.

Advancing to step 8:
40 divided by 13 is 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 36759.23
The remainder is 1 after subtracting 39 from 40.
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 9:
When dividing 10 by 13, we get 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 36759.23
If we take 0 away from 10, 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.

On to step 10:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 36759.2307
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.

Step 11:
If we divide 90 by 13, we get 6 and a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 36759.23076
Subtract 78 from 90 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 12:
13 can be fit into 120 9 times, resulting in a remainder of 3.
The next digit of our result is 9. 
Result so far: 36759.230769
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.

Advancing to step 13:
When dividing 30 by 13, we get 2 with a remainder of 4.
The next digit of our result is 2. 
Result so far: 36759.2307692
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.

On to step 14:
If we divide 40 by 13, we get 3 and a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 36759.23076923
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.

In conclusion, the division gives 36759.23076923 with a balance of 1e-09.