We're dividing 35985977 by 13 
We want to figure out the number of times 35985977 can be divided by 13.

Advancing to step 1:
The number 13 fits into 3 0 times, leaving a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 13

Step 2:
When dividing 35 by 13, we get 2 with a remainder of 9.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we take 26 away from 35, we end up with 9.
Include the next digit (9) from the dividend after 9, then repeat: 99 / 13

Moving on to step 3:
99 divided by 13 is 7 with a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 27.0
Deduct 91 from 99 and we're left with 8.
Include the next digit (8) from the dividend after 8, then repeat: 88 / 13

Moving on to step 4:
13 can be fit into 88 6 times, resulting in a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 276.0
Deduct 78 from 88 and we're left with 10.
Fetch the next digit (5) from the dividend, attach it to 10 and continue: 105 / 13

Step 5:
13 goes into 105 8 times with a remainder of 1.
The next digit of our result is 8. 
Result so far: 2768.0
If we subtract 104 from 105, we get 1.
Include the next digit (9) from the dividend after 1, then repeat: 19 / 13

On to step 6:
If we divide 19 by 13, we get 1 and a remainder of 6.
The next digit of our result is 1. 
Result so far: 27681.0
If we take 13 away from 19, we end up with 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 13

Step 7:
The number 13 fits into 67 5 times, leaving a remainder of 2.
Put 5 as the next digit of the answer. 
Result so far: 276815.0
If we subtract 65 from 67, we get 2.
Include the next digit (7) from the dividend after 2, then repeat: 27 / 13

Going ahead to step 8:
The number 13 fits into 27 2 times, leaving a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 2768152.0
Subtract 26 from 27 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 9:
When dividing 10 by 13, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 2768152.0
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 10:
100 divided by 13 is 7 with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 2768152.07
Subtract 91 from 100 to 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.

Going ahead to step 11:
When dividing 90 by 13, we get 6 with a remainder of 12.
The next digit of our result is 6. 
Result so far: 2768152.076
Deduct 78 from 90 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.

Moving on to step 12:
When dividing 120 by 13, we get 9 with a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 2768152.0769
If we subtract 117 from 120, we 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.

Going ahead to step 13:
30 divided by 13 is 2 with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 2768152.07692
The remainder is 4 after subtracting 26 from 30.
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 14:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 2768152.076923
Deduct 39 from 40 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 15:
13 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 2768152.076923
Subtracting 0 from 10 leaves us 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.

Going ahead to step 16:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 2768152.07692307
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.

The final result is 2768152.07692307 with a remainder of 9e-09.