We're dividing 753866 by 343 
We're looking to find how many times 343 goes into 753866.

Moving on to step 1:
7 divided by 343 is 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Grab the next digit (5) from the dividend, add it to 7, then carry on: 75 / 343

On to step 2:
When dividing 75 by 343, we get 0 with a remainder of 75.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 75, we get 75.
Bring next digit (3) of the dividend behind the 75 and repeat the process: 753 / 343

Let's proceed to step 3:
If we divide 753 by 343, we get 2 and a remainder of 67.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Deduct 686 from 753 and we're left with 67.
Append the next digit (8) from the dividend to 67 and continue with: 678 / 343

On to step 4:
678 divided by 343 is 1 with a remainder of 335.
Use 1 as the next digit of our solution. 
Result so far: 21.0
The remainder is 335 after subtracting 343 from 678.
Fetch the next digit (6) from the dividend, attach it to 335 and continue: 3356 / 343

On to step 5:
When dividing 3356 by 343, we get 9 with a remainder of 269.
Write down 9 as next digit of the result. 
Result so far: 219.0
If we take 3087 away from 3356, we end up with 269.
Include the next digit (6) from the dividend after 269, then repeat: 2696 / 343

Advancing to step 6:
2696 divided by 343 is 7 with a remainder of 295.
The next digit of our result is 7. 
Result so far: 2197.0
Deduct 2401 from 2696 and we're left with 295.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2950, and continue the process.

Let's proceed to step 7:
343 goes into 2950 8 times with a remainder of 206.
Put 8 as the next digit of the answer. 
Result so far: 2197.8
Subtract 2744 from 2950 to get 206.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2060, and continue the process.

Step 8:
2060 divided by 343 is 6 with a remainder of 2.
The next digit of our result is 6. 
Result so far: 2197.86
If we subtract 2058 from 2060, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 9:
343 goes into 20 0 times with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 2197.86
If we take 0 away from 20, 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.

On to step 10:
When dividing 200 by 343, we get 0 with a remainder of 200.
Write down 0 as next digit of the result. 
Result so far: 2197.86
Deduct 0 from 200 and we're left with 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2000, and continue the process.

Our division results in 2197.86 with a remaining 0.002.