Let's divide 466621 by 13
We want to divide 466621 by 13.

Going ahead to step 1:
13 can be fit into 4 0 times, resulting in a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 13

Advancing to step 2:
13 can be fit into 46 3 times, resulting in a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtracting 39 from 46 leaves us with 7.
Grab the next digit (6) from the dividend, add it to 7, then carry on: 76 / 13

Let's proceed to step 3:
13 goes into 76 5 times with a remainder of 11.
Put 5 as the next digit of the answer. 
Result so far: 35.0
Subtracting 65 from 76 leaves us with 11.
Append the next digit (6) from the dividend to 11 and continue with: 116 / 13

Advancing to step 4:
13 goes into 116 8 times with a remainder of 12.
The next digit of our result is 8. 
Result so far: 358.0
Deduct 104 from 116 and we're left with 12.
Bring next digit (2) of the dividend behind the 12 and repeat the process: 122 / 13

Advancing to step 5:
13 goes into 122 9 times with a remainder of 5.
Write down 9 as next digit of the result. 
Result so far: 3589.0
If we subtract 117 from 122, we get 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 13

On to step 6:
If we divide 51 by 13, we get 3 and a remainder of 12.
Write down 3 as next digit of the result. 
Result so far: 35893.0
Deduct 39 from 51 and we're left with 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 7:
The number 13 fits into 120 9 times, leaving a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 35893.9
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 8:
If we divide 30 by 13, we get 2 and a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 35893.92
If we subtract 26 from 30, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 9:
40 divided by 13 is 3 with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 35893.923
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.

Advancing to step 10:
The number 13 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 35893.923
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.

Advancing to step 11:
100 divided by 13 is 7 with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 35893.92307
Deduct 91 from 100 and we're left 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.

Moving on to step 12:
If we divide 90 by 13, we get 6 and a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 35893.923076
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 13:
The number 13 fits into 120 9 times, leaving a remainder of 3.
The next digit of our result is 9. 
Result so far: 35893.9230769
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.

Advancing to step 14:
The number 13 fits into 30 2 times, leaving a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 35893.92307692
If we take 26 away from 30, we end up 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.

Our division results in 35893.92307692 with a remaining 4e-09.