Let's divide 345733 by 51
We want to divide 345733 by 51.

Advancing to step 1:
If we divide 3 by 51, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 51

On to step 2:
34 divided by 51 is 0 with a remainder of 34.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 34 after subtracting 0 from 34.
Fetch the next digit (5) from the dividend, attach it to 34 and continue: 345 / 51

Step 3:
If we divide 345 by 51, we get 6 and a remainder of 39.
Write down 6 as next digit of the result. 
Result so far: 6.0
Deduct 306 from 345 and we're left with 39.
Grab the next digit (7) from the dividend, add it to 39, then carry on: 397 / 51

Step 4:
51 can be fit into 397 7 times, resulting in a remainder of 40.
Write down 7 as next digit of the result. 
Result so far: 67.0
Deduct 357 from 397 and we're left with 40.
Append the next digit (3) from the dividend to 40 and continue with: 403 / 51

Advancing to step 5:
51 can be fit into 403 7 times, resulting in a remainder of 46.
The next digit of our result is 7. 
Result so far: 677.0
Deduct 357 from 403 and we're left with 46.
Bring next digit (3) of the dividend behind the 46 and repeat the process: 463 / 51

Moving on to step 6:
51 goes into 463 9 times with a remainder of 4.
Put 9 as the next digit of the answer. 
Result so far: 6779.0
Subtract 459 from 463 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 7:
If we divide 40 by 51, we get 0 and a remainder of 40.
The next digit of our result is 0. 
Result so far: 6779.0
Deduct 0 from 40 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.

Step 8:
When dividing 400 by 51, we get 7 with a remainder of 43.
Record the quotient 7 as the next digit in the result. 
Result so far: 6779.07
The remainder is 43 after subtracting 357 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Going ahead to step 9:
When dividing 430 by 51, we get 8 with a remainder of 22.
Use 8 as the next digit of our solution. 
Result so far: 6779.078
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.

Advancing to step 10:
51 goes into 220 4 times with a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 6779.0784
If we take 204 away from 220, we end up 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.

On to step 11:
51 goes into 160 3 times with a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 6779.07843
If we subtract 153 from 160, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 12:
70 divided by 51 is 1 with a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 6779.078431
The remainder is 19 after subtracting 51 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 13:
51 can be fit into 190 3 times, resulting in a remainder of 37.
Put 3 as the next digit of the answer. 
Result so far: 6779.0784313
Subtract 153 from 190 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 14:
51 can be fit into 370 7 times, resulting in a remainder of 13.
Put 7 as the next digit of the answer. 
Result so far: 6779.07843137
Subtracting 357 from 370 leaves us 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.

The final outcome is 6779.07843137, with a leftover of 1.3e-08.