We look at the division of 629830 by 13 
Let's see how many times 13 fits into 629830.

Let's proceed to step 1:
When dividing 6 by 13, we get 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Grab the next digit (2) from the dividend, add it to 6, then carry on: 62 / 13

Step 2:
13 goes into 62 4 times with a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 4.0
The remainder is 10 after subtracting 52 from 62.
Bring next digit (9) of the dividend behind the 10 and repeat the process: 109 / 13

On to step 3:
The number 13 fits into 109 8 times, leaving a remainder of 5.
The number 8 becomes the next digit in our result. 
Result so far: 48.0
Subtract 104 from 109 to get 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 13

Advancing to step 4:
13 goes into 58 4 times with a remainder of 6.
The next digit of our result is 4. 
Result so far: 484.0
Subtracting 52 from 58 leaves us with 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 13

Step 5:
When dividing 63 by 13, we get 4 with a remainder of 11.
Write down 4 as next digit of the result. 
Result so far: 4844.0
Deduct 52 from 63 and we're left with 11.
Append the next digit (0) from the dividend to 11 and continue with: 110 / 13

Advancing to step 6:
110 divided by 13 is 8 with a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 48448.0
Deduct 104 from 110 and we're left 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.

On to step 7:
13 goes into 60 4 times with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 48448.4
If we subtract 52 from 60, we 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.

Step 8:
If we divide 80 by 13, we get 6 and a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 48448.46
Deduct 78 from 80 and we're left 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.

On to step 9:
The number 13 fits into 20 1 times, leaving a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 48448.461
If we subtract 13 from 20, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 10:
13 goes into 70 5 times with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 48448.4615
The remainder is 5 after subtracting 65 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 11:
When dividing 50 by 13, we get 3 with a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 48448.46153
If we subtract 39 from 50, 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.

Moving 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: 48448.461538
Subtracting 104 from 110 leaves us 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.

Moving on to step 13:
If we divide 60 by 13, we get 4 and a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 48448.4615384
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.

Moving on to step 14:
13 goes into 80 6 times with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 48448.46153846
If we subtract 78 from 80, we 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.

Our division results in 48448.46153846 with a remaining 2e-09.