We divide 842201 by 13
We want to figure out the number of times 842201 can be divided by 13.

Moving on to step 1:
13 goes into 8 0 times with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Bring next digit (4) of the dividend behind the 8 and repeat the process: 84 / 13

Advancing to step 2:
13 goes into 84 6 times with a remainder of 6.
The next digit of our result is 6. 
Result so far: 6.0
If we take 78 away from 84, we end up with 6.
Append the next digit (2) from the dividend to 6 and continue with: 62 / 13

Advancing to step 3:
If we divide 62 by 13, we get 4 and a remainder of 10.
The next digit of our result is 4. 
Result so far: 64.0
The remainder is 10 after subtracting 52 from 62.
Take the next digit (2) from the dividend and append it to 10, then repeat: 102 / 13

Step 4:
The number 13 fits into 102 7 times, leaving a remainder of 11.
Put 7 as the next digit of the answer. 
Result so far: 647.0
The remainder is 11 after subtracting 91 from 102.
Take the next digit (0) from the dividend and append it to 11, then repeat: 110 / 13

Step 5:
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: 6478.0
The remainder is 6 after subtracting 104 from 110.
Fetch the next digit (1) from the dividend, attach it to 6 and continue: 61 / 13

Step 6:
If we divide 61 by 13, we get 4 and a remainder of 9.
Put 4 as the next digit of the answer. 
Result so far: 64784.0
If we subtract 52 from 61, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 7:
If we divide 90 by 13, we get 6 and a remainder of 12.
The next digit of our result is 6. 
Result so far: 64784.6
Subtracting 78 from 90 leaves us 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.

Step 8:
If we divide 120 by 13, we get 9 and a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 64784.69
Subtracting 117 from 120 leaves us 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.

On to step 9:
The number 13 fits into 30 2 times, leaving a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 64784.692
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.

Advancing to step 10:
13 goes into 40 3 times with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 64784.6923
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.

Let's proceed to step 11:
13 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 64784.6923
Deduct 0 from 10 and we're left 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.

Step 12:
13 goes into 100 7 times with a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 64784.692307
If we subtract 91 from 100, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 13:
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: 64784.6923076
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.

On to step 14:
If we divide 120 by 13, we get 9 and a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 64784.69230769
Subtracting 117 from 120 leaves us 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.

Our division results in 64784.69230769 with a remaining 3e-09.