We look at the division of 3680743 by 13 
Our goal is to divide 3680743 by 13.

On to step 1:
13 goes into 3 0 times with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Grab the next digit (6) from the dividend, add it to 3, then carry on: 36 / 13

Advancing to step 2:
36 divided by 13 is 2 with a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtracting 26 from 36 leaves us with 10.
Take the next digit (8) from the dividend and append it to 10, then repeat: 108 / 13

On to step 3:
If we divide 108 by 13, we get 8 and a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 28.0
Subtract 104 from 108 to get 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 13

Let's proceed to step 4:
13 goes into 40 3 times with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 283.0
Subtract 39 from 40 to get 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 13

Let's proceed to step 5:
17 divided by 13 is 1 with a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 2831.0
Deduct 13 from 17 and we're left with 4.
Grab the next digit (4) from the dividend, add it to 4, then carry on: 44 / 13

Let's proceed to step 6:
When dividing 44 by 13, we get 3 with a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 28313.0
Subtract 39 from 44 to get 5.
Include the next digit (3) from the dividend after 5, then repeat: 53 / 13

Moving on to step 7:
The number 13 fits into 53 4 times, leaving a remainder of 1.
Use 4 as the next digit of our solution. 
Result so far: 283134.0
Deduct 52 from 53 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.

Advancing to step 8:
When dividing 10 by 13, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 283134.0
The remainder is 10 after subtracting 0 from 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 9:
If we divide 100 by 13, we get 7 and a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 283134.07
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 10:
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: 283134.076
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.

Let's proceed to step 11:
If we divide 120 by 13, we get 9 and a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 283134.0769
Deduct 117 from 120 and we're left 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 12:
If we divide 30 by 13, we get 2 and a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 283134.07692
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.

Advancing to step 13:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 283134.076923
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.

On to step 14:
When dividing 10 by 13, we get 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 283134.076923
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.

On to step 15:
When dividing 100 by 13, we get 7 with a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 283134.07692307
Subtracting 91 from 100 leaves us 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 quotient of the division is 283134.07692307, and the remainder is 9e-09.