We look at the division of 461771 by 13 
We're looking to find how many times 13 goes into 461771.

On to step 1:
The number 13 fits into 4 0 times, leaving a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Fetch the next digit (6) from the dividend, attach it to 4 and continue: 46 / 13

Moving on to step 2:
46 divided by 13 is 3 with a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 3.0
The remainder is 7 after subtracting 39 from 46.
Append the next digit (1) from the dividend to 7 and continue with: 71 / 13

On to step 3:
13 can be fit into 71 5 times, resulting in a remainder of 6.
The next digit of our result is 5. 
Result so far: 35.0
Deduct 65 from 71 and we're left with 6.
Include the next digit (7) from the dividend after 6, then repeat: 67 / 13

Going ahead to step 4:
67 divided by 13 is 5 with a remainder of 2.
Put 5 as the next digit of the answer. 
Result so far: 355.0
Subtract 65 from 67 to get 2.
Fetch the next digit (7) from the dividend, attach it to 2 and continue: 27 / 13

On to step 5:
13 goes into 27 2 times with a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 3552.0
Deduct 26 from 27 and we're left with 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 13

On to step 6:
13 goes into 11 0 times with a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 35520.0
The remainder is 11 after subtracting 0 from 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 7:
13 goes into 110 8 times with a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 35520.8
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.

Going ahead to step 8:
The number 13 fits into 60 4 times, leaving a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 35520.84
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.

Moving on to step 9:
80 divided by 13 is 6 with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 35520.846
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.

Step 10:
13 can be fit into 20 1 times, resulting in a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 35520.8461
If we take 13 away from 20, we end up 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.

Moving on to step 11:
The number 13 fits into 70 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 35520.84615
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.

On to step 12:
13 goes into 50 3 times with a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 35520.846153
Deduct 39 from 50 and we're left 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.

Let's proceed to step 13:
When dividing 110 by 13, we get 8 with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 35520.8461538
If we subtract 104 from 110, we 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.

Going ahead to step 14:
The number 13 fits into 60 4 times, leaving a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 35520.84615384
Deduct 52 from 60 and we're left 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.

Our division results in 35520.84615384 with a remaining 8e-09.