477145 divided by 13 
We're looking to find how many times 13 goes into 477145.

Advancing to step 1:
13 can be fit into 4 0 times, resulting in a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Append the next digit (7) from the dividend to 4 and continue with: 47 / 13

Advancing to step 2:
When dividing 47 by 13, we get 3 with a remainder of 8.
The next digit of our result is 3. 
Result so far: 3.0
The remainder is 8 after subtracting 39 from 47.
Bring next digit (7) of the dividend behind the 8 and repeat the process: 87 / 13

Going ahead to step 3:
If we divide 87 by 13, we get 6 and a remainder of 9.
Put 6 as the next digit of the answer. 
Result so far: 36.0
If we subtract 78 from 87, we get 9.
Append the next digit (1) from the dividend to 9 and continue with: 91 / 13

On to step 4:
When dividing 91 by 13, we get 7 with a remainder of 0.
Use 7 as the next digit of our solution. 
Result so far: 367.0
Subtract 91 from 91 to get 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 13

Let's proceed to step 5:
If we divide 4 by 13, we get 0 and a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 3670.0
If we subtract 0 from 4, we get 4.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 13

Going ahead to step 6:
13 can be fit into 45 3 times, resulting in a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 36703.0
If we take 39 away from 45, we end up with 6.
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 7:
The number 13 fits into 60 4 times, leaving a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 36703.4
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.

On to step 8:
13 can be fit into 80 6 times, resulting in a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 36703.46
Subtract 78 from 80 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 9:
13 can be fit into 20 1 times, resulting in a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 36703.461
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.

Step 10:
13 can be fit into 70 5 times, resulting in a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 36703.4615
Subtracting 65 from 70 leaves us 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.

Advancing to step 11:
13 goes into 50 3 times with a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 36703.46153
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.

On to step 12:
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: 36703.461538
If we take 104 away from 110, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 13:
60 divided by 13 is 4 with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 36703.4615384
Subtract 52 from 60 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 14:
The number 13 fits into 80 6 times, leaving a remainder of 2.
The next digit of our result is 6. 
Result so far: 36703.46153846
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.

In conclusion, the division gives 36703.46153846 with a balance of 2e-09.