256334 ÷ 51 
Our goal is to divide 256334 by 51.

Advancing to step 1:
When dividing 2 by 51, we get 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 51

Step 2:
25 divided by 51 is 0 with a remainder of 25.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 25 and we're left with 25.
Take the next digit (6) from the dividend and append it to 25, then repeat: 256 / 51

Step 3:
51 goes into 256 5 times with a remainder of 1.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we subtract 255 from 256, we get 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 51

Step 4:
51 goes into 13 0 times with a remainder of 13.
Put 0 as the next digit of the answer. 
Result so far: 50.0
Deduct 0 from 13 and we're left with 13.
Grab the next digit (3) from the dividend, add it to 13, then carry on: 133 / 51

Step 5:
51 goes into 133 2 times with a remainder of 31.
Use 2 as the next digit of our solution. 
Result so far: 502.0
Deduct 102 from 133 and we're left with 31.
Include the next digit (4) from the dividend after 31, then repeat: 314 / 51

Going ahead to step 6:
51 goes into 314 6 times with a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 5026.0
The remainder is 8 after subtracting 306 from 314.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 7:
The number 51 fits into 80 1 times, leaving a remainder of 29.
The next digit of our result is 1. 
Result so far: 5026.1
If we take 51 away from 80, we end up 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 8:
The number 51 fits into 290 5 times, leaving a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 5026.15
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 9:
The number 51 fits into 350 6 times, leaving a remainder of 44.
Use 6 as the next digit of our solution. 
Result so far: 5026.156
Subtract 306 from 350 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 10:
51 goes into 440 8 times with a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 5026.1568
The remainder is 32 after subtracting 408 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 11:
The number 51 fits into 320 6 times, leaving a remainder of 14.
Use 6 as the next digit of our solution. 
Result so far: 5026.15686
The remainder is 14 after subtracting 306 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 12:
140 divided by 51 is 2 with a remainder of 38.
The number 2 becomes the next digit in our result. 
Result so far: 5026.156862
If we subtract 102 from 140, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 13:
51 can be fit into 380 7 times, resulting in a remainder of 23.
Write down 7 as next digit of the result. 
Result so far: 5026.1568627
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.

On to step 14:
If we divide 230 by 51, we get 4 and a remainder of 26.
Write down 4 as next digit of the result. 
Result so far: 5026.15686274
Deduct 204 from 230 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The quotient of the division is 5026.15686274, and the remainder is 2.6e-08.