725434 ÷ 51 
Our goal is to divide 725434 by 51.

Moving on to step 1:
7 divided by 51 is 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Fetch the next digit (2) from the dividend, attach it to 7 and continue: 72 / 51

Step 2:
51 goes into 72 1 times with a remainder of 21.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 21 after subtracting 51 from 72.
Take the next digit (5) from the dividend and append it to 21, then repeat: 215 / 51

Advancing to step 3:
215 divided by 51 is 4 with a remainder of 11.
Record the quotient 4 as the next digit in the result. 
Result so far: 14.0
Deduct 204 from 215 and we're left with 11.
Fetch the next digit (4) from the dividend, attach it to 11 and continue: 114 / 51

Let's proceed to step 4:
114 divided by 51 is 2 with a remainder of 12.
The next digit of our result is 2. 
Result so far: 142.0
Subtract 102 from 114 to get 12.
Include the next digit (3) from the dividend after 12, then repeat: 123 / 51

Advancing to step 5:
123 divided by 51 is 2 with a remainder of 21.
Use 2 as the next digit of our solution. 
Result so far: 1422.0
Deduct 102 from 123 and we're left with 21.
Take the next digit (4) from the dividend and append it to 21, then repeat: 214 / 51

Advancing to step 6:
The number 51 fits into 214 4 times, leaving a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 14224.0
Subtracting 204 from 214 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 7:
100 divided by 51 is 1 with a remainder of 49.
Use 1 as the next digit of our solution. 
Result so far: 14224.1
Deduct 51 from 100 and we're left with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Moving on to step 8:
51 can be fit into 490 9 times, resulting in a remainder of 31.
The next digit of our result is 9. 
Result so far: 14224.19
Deduct 459 from 490 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

On to step 9:
51 can be fit into 310 6 times, resulting in a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 14224.196
Deduct 306 from 310 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 10:
The number 51 fits into 40 0 times, leaving a remainder of 40.
The next digit of our result is 0. 
Result so far: 14224.196
If we subtract 0 from 40, we get 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 11:
51 goes into 400 7 times with a remainder of 43.
Write down 7 as next digit of the result. 
Result so far: 14224.19607
Subtract 357 from 400 to 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.

Moving on to step 12:
When dividing 430 by 51, we get 8 with a remainder of 22.
The number 8 becomes the next digit in our result. 
Result so far: 14224.196078
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.

Moving on to step 13:
51 goes into 220 4 times with a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 14224.1960784
Subtracting 204 from 220 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.

Step 14:
51 goes into 160 3 times with a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 14224.19607843
If we take 153 away from 160, we end up 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.

After the division, we end up with 14224.19607843 and a remainder of 7e-09.