437709 ÷ 51 
We're looking to find how many times 51 goes into 437709.

Step 1:
When dividing 4 by 51, we get 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 51

On to step 2:
43 divided by 51 is 0 with a remainder of 43.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 43 after subtracting 0 from 43.
Grab the next digit (7) from the dividend, add it to 43, then carry on: 437 / 51

Step 3:
When dividing 437 by 51, we get 8 with a remainder of 29.
The next digit of our result is 8. 
Result so far: 8.0
Deduct 408 from 437 and we're left with 29.
Grab the next digit (7) from the dividend, add it to 29, then carry on: 297 / 51

Going ahead to step 4:
If we divide 297 by 51, we get 5 and a remainder of 42.
Write down 5 as next digit of the result. 
Result so far: 85.0
The remainder is 42 after subtracting 255 from 297.
Bring next digit (0) of the dividend behind the 42 and repeat the process: 420 / 51

Step 5:
When dividing 420 by 51, we get 8 with a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 858.0
If we subtract 408 from 420, we get 12.
Bring next digit (9) of the dividend behind the 12 and repeat the process: 129 / 51

Advancing to step 6:
51 goes into 129 2 times with a remainder of 27.
Record the quotient 2 as the next digit in the result. 
Result so far: 8582.0
Subtracting 102 from 129 leaves us with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 7:
51 goes into 270 5 times with a remainder of 15.
The next digit of our result is 5. 
Result so far: 8582.5
If we subtract 255 from 270, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 8:
The number 51 fits into 150 2 times, leaving a remainder of 48.
Record the quotient 2 as the next digit in the result. 
Result so far: 8582.52
If we take 102 away from 150, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 9:
51 can be fit into 480 9 times, resulting in a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 8582.529
The remainder is 21 after subtracting 459 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 10:
When dividing 210 by 51, we get 4 with a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 8582.5294
Deduct 204 from 210 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 11:
If we divide 60 by 51, we get 1 and a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 8582.52941
If we subtract 51 from 60, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 12:
51 goes into 90 1 times with a remainder of 39.
Write down 1 as next digit of the result. 
Result so far: 8582.529411
Deduct 51 from 90 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

The final outcome is 8582.529411, with a leftover of 3.9e-06.