729125 ÷ 51 
We want to figure out the number of times 729125 can be divided by 51.

Advancing to step 1:
If we divide 7 by 51, we get 0 and a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Take the next digit (2) from the dividend and append it to 7, then repeat: 72 / 51

On to step 2:
When dividing 72 by 51, we get 1 with a remainder of 21.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 51 from 72, we get 21.
Fetch the next digit (9) from the dividend, attach it to 21 and continue: 219 / 51

Step 3:
51 goes into 219 4 times with a remainder of 15.
Use 4 as the next digit of our solution. 
Result so far: 14.0
Subtract 204 from 219 to get 15.
Take the next digit (1) from the dividend and append it to 15, then repeat: 151 / 51

Moving on to step 4:
51 goes into 151 2 times with a remainder of 49.
The next digit of our result is 2. 
Result so far: 142.0
Subtracting 102 from 151 leaves us with 49.
Grab the next digit (2) from the dividend, add it to 49, then carry on: 492 / 51

Moving on to step 5:
492 divided by 51 is 9 with a remainder of 33.
Record the quotient 9 as the next digit in the result. 
Result so far: 1429.0
Subtracting 459 from 492 leaves us with 33.
Append the next digit (5) from the dividend to 33 and continue with: 335 / 51

Moving on to step 6:
51 goes into 335 6 times with a remainder of 29.
Use 6 as the next digit of our solution. 
Result so far: 14296.0
Subtracting 306 from 335 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Let's proceed to step 7:
When dividing 290 by 51, we get 5 with a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 14296.5
The remainder is 35 after subtracting 255 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 8:
51 goes into 350 6 times with a remainder of 44.
The number 6 becomes the next digit in our result. 
Result so far: 14296.56
If we take 306 away from 350, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 9:
The number 51 fits into 440 8 times, leaving a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 14296.568
Subtracting 408 from 440 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 10:
51 can be fit into 320 6 times, resulting in a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 14296.5686
If we subtract 306 from 320, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 11:
51 can be fit into 140 2 times, resulting in a remainder of 38.
The next digit of our result is 2. 
Result so far: 14296.56862
Subtracting 102 from 140 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 12:
51 goes into 380 7 times with a remainder of 23.
The next digit of our result is 7. 
Result so far: 14296.568627
Subtracting 357 from 380 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 13:
230 divided by 51 is 4 with a remainder of 26.
Write down 4 as next digit of the result. 
Result so far: 14296.5686274
The remainder is 26 after subtracting 204 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 14:
If we divide 260 by 51, we get 5 and a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 14296.56862745
Deduct 255 from 260 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The quotient of the division is 14296.56862745, and the remainder is 5e-09.