We're dividing 801601 by 13 
Our goal is to divide 801601 by 13.

Advancing to step 1:
If we divide 8 by 13, we get 0 and a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Grab the next digit (0) from the dividend, add it to 8, then carry on: 80 / 13

Advancing to step 2:
13 goes into 80 6 times with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtract 78 from 80 to get 2.
Grab the next digit (1) from the dividend, add it to 2, then carry on: 21 / 13

Going ahead to step 3:
If we divide 21 by 13, we get 1 and a remainder of 8.
Record the quotient 1 as the next digit in the result. 
Result so far: 61.0
If we subtract 13 from 21, we get 8.
Bring next digit (6) of the dividend behind the 8 and repeat the process: 86 / 13

Let's proceed to step 4:
86 divided by 13 is 6 with a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 616.0
Subtract 78 from 86 to get 8.
Include the next digit (0) from the dividend after 8, then repeat: 80 / 13

Advancing to step 5:
The number 13 fits into 80 6 times, leaving a remainder of 2.
The next digit of our result is 6. 
Result so far: 6166.0
If we take 78 away from 80, we end up with 2.
Take the next digit (1) from the dividend and append it to 2, then repeat: 21 / 13

Advancing to step 6:
If we divide 21 by 13, we get 1 and a remainder of 8.
Use 1 as the next digit of our solution. 
Result so far: 61661.0
The remainder is 8 after subtracting 13 from 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 7:
80 divided by 13 is 6 with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 61661.6
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.

Advancing to step 8:
When dividing 20 by 13, we get 1 with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 61661.61
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.

On to step 9:
If we divide 70 by 13, we get 5 and a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 61661.615
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 10:
13 goes into 50 3 times with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 61661.6153
The remainder is 11 after subtracting 39 from 50.
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 11:
When dividing 110 by 13, we get 8 with a remainder of 6.
The next digit of our result is 8. 
Result so far: 61661.61538
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 12:
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: 61661.615384
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.

On to step 13:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 61661.6153846
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.

Step 14:
20 divided by 13 is 1 with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 61661.61538461
Subtracting 13 from 20 leaves us 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.

The quotient of the division is 61661.61538461, and the remainder is 7e-09.