337436 ÷ 51 
Our goal is to divide 337436 by 51.

Going ahead to step 1:
If we divide 3 by 51, we get 0 and a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 51

On to step 2:
51 can be fit into 33 0 times, resulting in a remainder of 33.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 33 after subtracting 0 from 33.
Include the next digit (7) from the dividend after 33, then repeat: 337 / 51

Step 3:
If we divide 337 by 51, we get 6 and a remainder of 31.
The next digit of our result is 6. 
Result so far: 6.0
Deduct 306 from 337 and we're left with 31.
Fetch the next digit (4) from the dividend, attach it to 31 and continue: 314 / 51

Step 4:
51 goes into 314 6 times with a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 66.0
Subtracting 306 from 314 leaves us with 8.
Bring next digit (3) of the dividend behind the 8 and repeat the process: 83 / 51

On to step 5:
51 can be fit into 83 1 times, resulting in a remainder of 32.
Record the quotient 1 as the next digit in the result. 
Result so far: 661.0
Deduct 51 from 83 and we're left with 32.
Fetch the next digit (6) from the dividend, attach it to 32 and continue: 326 / 51

Moving on to step 6:
If we divide 326 by 51, we get 6 and a remainder of 20.
Use 6 as the next digit of our solution. 
Result so far: 6616.0
If we take 306 away from 326, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 7:
When dividing 200 by 51, we get 3 with a remainder of 47.
The next digit of our result is 3. 
Result so far: 6616.3
If we subtract 153 from 200, we get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Advancing to step 8:
470 divided by 51 is 9 with a remainder of 11.
The next digit of our result is 9. 
Result so far: 6616.39
Subtract 459 from 470 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 9:
If we divide 110 by 51, we get 2 and a remainder of 8.
The next digit of our result is 2. 
Result so far: 6616.392
The remainder is 8 after subtracting 102 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 10:
The number 51 fits into 80 1 times, leaving a remainder of 29.
The next digit of our result is 1. 
Result so far: 6616.3921
Deduct 51 from 80 and we're left 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.

Going ahead to step 11:
If we divide 290 by 51, we get 5 and a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 6616.39215
Subtract 255 from 290 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 12:
The number 51 fits into 350 6 times, leaving a remainder of 44.
Record the quotient 6 as the next digit in the result. 
Result so far: 6616.392156
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 13:
When dividing 440 by 51, we get 8 with a remainder of 32.
Record the quotient 8 as the next digit in the result. 
Result so far: 6616.3921568
Subtract 408 from 440 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 14:
51 can be fit into 320 6 times, resulting in a remainder of 14.
Write down 6 as next digit of the result. 
Result so far: 6616.39215686
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.

Our division results in 6616.39215686 with a remaining 1.4e-08.