We look at the division of 101037 by 51 
Our goal is to divide 101037 by 51.

On to step 1:
51 goes into 1 0 times with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 51

On to step 2:
The number 51 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Append the next digit (1) from the dividend to 10 and continue with: 101 / 51

Going ahead to step 3:
The number 51 fits into 101 1 times, leaving a remainder of 50.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 51 from 101 leaves us with 50.
Bring next digit (0) of the dividend behind the 50 and repeat the process: 500 / 51

Moving on to step 4:
When dividing 500 by 51, we get 9 with a remainder of 41.
Put 9 as the next digit of the answer. 
Result so far: 19.0
Subtracting 459 from 500 leaves us with 41.
Take the next digit (3) from the dividend and append it to 41, then repeat: 413 / 51

Going ahead to step 5:
When dividing 413 by 51, we get 8 with a remainder of 5.
Record the quotient 8 as the next digit in the result. 
Result so far: 198.0
If we take 408 away from 413, we end up with 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 51

Step 6:
When dividing 57 by 51, we get 1 with a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 1981.0
Deduct 51 from 57 and we're left 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.

Advancing to step 7:
When dividing 60 by 51, we get 1 with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 1981.1
Deduct 51 from 60 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 8:
When dividing 90 by 51, we get 1 with a remainder of 39.
Write down 1 as next digit of the result. 
Result so far: 1981.11
If we take 51 away from 90, we end up with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

The quotient of the division is 1981.11, and the remainder is 0.039.