6296374 divided by 344 
We're looking to find how many times 344 goes into 6296374.

Going ahead to step 1:
If we divide 6 by 344, we get 0 and a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Include the next digit (2) from the dividend after 6, then repeat: 62 / 344

On to step 2:
62 divided by 344 is 0 with a remainder of 62.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 62 to get 62.
Take the next digit (9) from the dividend and append it to 62, then repeat: 629 / 344

Step 3:
The number 344 fits into 629 1 times, leaving a remainder of 285.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 344 from 629 to get 285.
Append the next digit (6) from the dividend to 285 and continue with: 2856 / 344

Advancing to step 4:
344 can be fit into 2856 8 times, resulting in a remainder of 104.
The number 8 becomes the next digit in our result. 
Result so far: 18.0
Subtracting 2752 from 2856 leaves us with 104.
Take the next digit (3) from the dividend and append it to 104, then repeat: 1043 / 344

On to step 5:
344 goes into 1043 3 times with a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 183.0
Subtract 1032 from 1043 to get 11.
Append the next digit (7) from the dividend to 11 and continue with: 117 / 344

Moving on to step 6:
If we divide 117 by 344, we get 0 and a remainder of 117.
Use 0 as the next digit of our solution. 
Result so far: 1830.0
If we take 0 away from 117, we end up with 117.
Append the next digit (4) from the dividend to 117 and continue with: 1174 / 344

Advancing to step 7:
344 can be fit into 1174 3 times, resulting in a remainder of 142.
The next digit of our result is 3. 
Result so far: 18303.0
Subtracting 1032 from 1174 leaves us with 142.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1420, and continue the process.

Moving on to step 8:
The number 344 fits into 1420 4 times, leaving a remainder of 44.
Write down 4 as next digit of the result. 
Result so far: 18303.4
If we take 1376 away from 1420, 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.

Advancing to step 9:
440 divided by 344 is 1 with a remainder of 96.
The number 1 becomes the next digit in our result. 
Result so far: 18303.41
The remainder is 96 after subtracting 344 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 960, and continue the process.

Let's proceed to step 10:
960 divided by 344 is 2 with a remainder of 272.
The number 2 becomes the next digit in our result. 
Result so far: 18303.412
The remainder is 272 after subtracting 688 from 960.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2720, and continue the process.

Let's proceed to step 11:
344 goes into 2720 7 times with a remainder of 312.
Use 7 as the next digit of our solution. 
Result so far: 18303.4127
If we subtract 2408 from 2720, we get 312.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3120, and continue the process.

Step 12:
The number 344 fits into 3120 9 times, leaving a remainder of 24.
Write down 9 as next digit of the result. 
Result so far: 18303.41279
Subtract 3096 from 3120 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 13:
240 divided by 344 is 0 with a remainder of 240.
Use 0 as the next digit of our solution. 
Result so far: 18303.41279
Deduct 0 from 240 and we're left with 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2400, and continue the process.

Going ahead to step 14:
If we divide 2400 by 344, we get 6 and a remainder of 336.
The number 6 becomes the next digit in our result. 
Result so far: 18303.4127906
Deduct 2064 from 2400 and we're left with 336.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3360, and continue the process.

Going ahead to step 15:
3360 divided by 344 is 9 with a remainder of 264.
The number 9 becomes the next digit in our result. 
Result so far: 18303.41279069
Subtract 3096 from 3360 to get 264.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2640, and continue the process.

Our division results in 18303.41279069 with a remaining 2.64e-07.