We're dividing 13697634 by 654 
We're looking to find how many times 654 goes into 13697634.

Step 1:
The number 654 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 654

On to step 2:
13 divided by 654 is 0 with a remainder of 13.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 13 leaves us with 13.
Include the next digit (6) from the dividend after 13, then repeat: 136 / 654

Going ahead to step 3:
The number 654 fits into 136 0 times, leaving a remainder of 136.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 136, we end up with 136.
Fetch the next digit (9) from the dividend, attach it to 136 and continue: 1369 / 654

Going ahead to step 4:
If we divide 1369 by 654, we get 2 and a remainder of 61.
Use 2 as the next digit of our solution. 
Result so far: 2.0
The remainder is 61 after subtracting 1308 from 1369.
Take the next digit (7) from the dividend and append it to 61, then repeat: 617 / 654

Step 5:
If we divide 617 by 654, we get 0 and a remainder of 617.
The next digit of our result is 0. 
Result so far: 20.0
If we subtract 0 from 617, we get 617.
Grab the next digit (6) from the dividend, add it to 617, then carry on: 6176 / 654

Advancing to step 6:
6176 divided by 654 is 9 with a remainder of 290.
Record the quotient 9 as the next digit in the result. 
Result so far: 209.0
If we subtract 5886 from 6176, we get 290.
Append the next digit (3) from the dividend to 290 and continue with: 2903 / 654

Step 7:
When dividing 2903 by 654, we get 4 with a remainder of 287.
The next digit of our result is 4. 
Result so far: 2094.0
If we take 2616 away from 2903, we end up with 287.
Append the next digit (4) from the dividend to 287 and continue with: 2874 / 654

Going ahead to step 8:
654 can be fit into 2874 4 times, resulting in a remainder of 258.
Record the quotient 4 as the next digit in the result. 
Result so far: 20944.0
Subtract 2616 from 2874 to get 258.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2580, and continue the process.

Going ahead to step 9:
The number 654 fits into 2580 3 times, leaving a remainder of 618.
The next digit of our result is 3. 
Result so far: 20944.3
Deduct 1962 from 2580 and we're left with 618.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6180, and continue the process.

Step 10:
When dividing 6180 by 654, we get 9 with a remainder of 294.
Put 9 as the next digit of the answer. 
Result so far: 20944.39
Subtract 5886 from 6180 to get 294.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2940, and continue the process.

Advancing to step 11:
If we divide 2940 by 654, we get 4 and a remainder of 324.
Record the quotient 4 as the next digit in the result. 
Result so far: 20944.394
Subtract 2616 from 2940 to get 324.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3240, and continue the process.

Advancing to step 12:
When dividing 3240 by 654, we get 4 with a remainder of 624.
Record the quotient 4 as the next digit in the result. 
Result so far: 20944.3944
If we take 2616 away from 3240, we end up with 624.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6240, and continue the process.

The quotient of the division is 20944.3944, and the remainder is 0.00624.