We look at the division of 100918 by 51 
Our goal is to divide 100918 by 51.

Step 1:
The number 51 fits into 1 0 times, leaving 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.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 51

Moving on to step 2:
The number 51 fits into 10 0 times, leaving a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Fetch the next digit (0) from the dividend, attach it to 10 and continue: 100 / 51

Step 3:
If we divide 100 by 51, we get 1 and a remainder of 49.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 51 from 100 leaves us with 49.
Bring next digit (9) of the dividend behind the 49 and repeat the process: 499 / 51

Advancing to step 4:
499 divided by 51 is 9 with a remainder of 40.
The number 9 becomes the next digit in our result. 
Result so far: 19.0
If we take 459 away from 499, we end up with 40.
Include the next digit (1) from the dividend after 40, then repeat: 401 / 51

Moving on to step 5:
51 can be fit into 401 7 times, resulting in a remainder of 44.
Record the quotient 7 as the next digit in the result. 
Result so far: 197.0
Deduct 357 from 401 and we're left with 44.
Take the next digit (8) from the dividend and append it to 44, then repeat: 448 / 51

Going ahead to step 6:
When dividing 448 by 51, we get 8 with a remainder of 40.
The next digit of our result is 8. 
Result so far: 1978.0
Deduct 408 from 448 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 7:
The number 51 fits into 400 7 times, leaving a remainder of 43.
Use 7 as the next digit of our solution. 
Result so far: 1978.7
If we subtract 357 from 400, we get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Advancing to step 8:
If we divide 430 by 51, we get 8 and a remainder of 22.
The next digit of our result is 8. 
Result so far: 1978.78
The remainder is 22 after subtracting 408 from 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 9:
When dividing 220 by 51, we get 4 with a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 1978.784
The remainder is 16 after subtracting 204 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 10:
When dividing 160 by 51, we get 3 with a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 1978.7843
The remainder is 7 after subtracting 153 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 11:
When dividing 70 by 51, we get 1 with a remainder of 19.
Write down 1 as next digit of the result. 
Result so far: 1978.78431
If we take 51 away from 70, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 12:
51 goes into 190 3 times with a remainder of 37.
Write down 3 as next digit of the result. 
Result so far: 1978.784313
If we take 153 away from 190, we end up with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

On to step 13:
The number 51 fits into 370 7 times, leaving a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 1978.7843137
Deduct 357 from 370 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 14:
51 can be fit into 130 2 times, resulting in a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 1978.78431372
If we take 102 away from 130, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

In conclusion, the division gives 1978.78431372 with a balance of 2.8e-08.