We look at the division of 137655 by 51 
We want to figure out the number of times 137655 can be divided by 51.

Step 1:
If we divide 1 by 51, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 51

On to step 2:
51 can be fit into 13 0 times, resulting in a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 13, we end up with 13.
Append the next digit (7) from the dividend to 13 and continue with: 137 / 51

Advancing to step 3:
137 divided by 51 is 2 with a remainder of 35.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we subtract 102 from 137, we get 35.
Take the next digit (6) from the dividend and append it to 35, then repeat: 356 / 51

Step 4:
51 goes into 356 6 times with a remainder of 50.
Use 6 as the next digit of our solution. 
Result so far: 26.0
Subtract 306 from 356 to get 50.
Include the next digit (5) from the dividend after 50, then repeat: 505 / 51

On to step 5:
51 goes into 505 9 times with a remainder of 46.
Record the quotient 9 as the next digit in the result. 
Result so far: 269.0
Subtract 459 from 505 to get 46.
Grab the next digit (5) from the dividend, add it to 46, then carry on: 465 / 51

Moving on to step 6:
When dividing 465 by 51, we get 9 with a remainder of 6.
Record the quotient 9 as the next digit in the result. 
Result so far: 2699.0
If we subtract 459 from 465, we get 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 7:
If we divide 60 by 51, we get 1 and a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 2699.1
The remainder is 9 after subtracting 51 from 60.
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 8:
The number 51 fits into 90 1 times, leaving a remainder of 39.
Use 1 as the next digit of our solution. 
Result so far: 2699.11
If we subtract 51 from 90, we get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Our division results in 2699.11 with a remaining 0.039.