We divide 6901 by 51
We want to figure out the number of times 6901 can be divided by 51.

Advancing to step 1:
6 divided by 51 is 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Bring next digit (9) of the dividend behind the 6 and repeat the process: 69 / 51

Moving on to step 2:
When dividing 69 by 51, we get 1 with a remainder of 18.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 51 from 69 and we're left with 18.
Bring next digit (0) of the dividend behind the 18 and repeat the process: 180 / 51

Advancing to step 3:
When dividing 180 by 51, we get 3 with a remainder of 27.
Use 3 as the next digit of our solution. 
Result so far: 13.0
Subtract 153 from 180 to get 27.
Fetch the next digit (1) from the dividend, attach it to 27 and continue: 271 / 51

Step 4:
271 divided by 51 is 5 with a remainder of 16.
The number 5 becomes the next digit in our result. 
Result so far: 135.0
Subtracting 255 from 271 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 5:
The number 51 fits into 160 3 times, leaving a remainder of 7.
The next digit of our result is 3. 
Result so far: 135.3
Subtracting 153 from 160 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 6:
The number 51 fits into 70 1 times, leaving a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 135.31
Subtracting 51 from 70 leaves us 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.

Moving on to step 7:
51 goes into 190 3 times with a remainder of 37.
Write down 3 as next digit of the result. 
Result so far: 135.313
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.

Going ahead to step 8:
370 divided by 51 is 7 with a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 135.3137
The remainder is 13 after subtracting 357 from 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 9:
51 goes into 130 2 times with a remainder of 28.
The number 2 becomes the next digit in our result. 
Result so far: 135.31372
Subtracting 102 from 130 leaves us 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.

Going ahead to step 10:
280 divided by 51 is 5 with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 135.313725
If we subtract 255 from 280, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 11:
When dividing 250 by 51, we get 4 with a remainder of 46.
Record the quotient 4 as the next digit in the result. 
Result so far: 135.3137254
If we take 204 away from 250, we end up with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Going ahead to step 12:
51 goes into 460 9 times with a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 135.31372549
If we subtract 459 from 460, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

In conclusion, the division gives 135.31372549 with a balance of 1e-09.