We look at the division of 338344 by 76 
Our goal is to divide 338344 by 76.

Step 1:
The number 76 fits into 3 0 times, leaving a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Fetch the next digit (3) from the dividend, attach it to 3 and continue: 33 / 76

Step 2:
76 can be fit into 33 0 times, resulting in a remainder of 33.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 33 and we're left with 33.
Take the next digit (8) from the dividend and append it to 33, then repeat: 338 / 76

Let's proceed to step 3:
76 goes into 338 4 times with a remainder of 34.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we subtract 304 from 338, we get 34.
Grab the next digit (3) from the dividend, add it to 34, then carry on: 343 / 76

Moving on to step 4:
76 goes into 343 4 times with a remainder of 39.
Put 4 as the next digit of the answer. 
Result so far: 44.0
If we subtract 304 from 343, we get 39.
Take the next digit (4) from the dividend and append it to 39, then repeat: 394 / 76

Step 5:
394 divided by 76 is 5 with a remainder of 14.
Record the quotient 5 as the next digit in the result. 
Result so far: 445.0
If we subtract 380 from 394, we get 14.
Grab the next digit (4) from the dividend, add it to 14, then carry on: 144 / 76

On to step 6:
76 goes into 144 1 times with a remainder of 68.
Put 1 as the next digit of the answer. 
Result so far: 4451.0
If we subtract 76 from 144, we get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Moving on to step 7:
680 divided by 76 is 8 with a remainder of 72.
The next digit of our result is 8. 
Result so far: 4451.8
Deduct 608 from 680 and we're left with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Advancing to step 8:
76 can be fit into 720 9 times, resulting in a remainder of 36.
Use 9 as the next digit of our solution. 
Result so far: 4451.89
If we take 684 away from 720, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 9:
360 divided by 76 is 4 with a remainder of 56.
Use 4 as the next digit of our solution. 
Result so far: 4451.894
Subtract 304 from 360 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 10:
560 divided by 76 is 7 with a remainder of 28.
Record the quotient 7 as the next digit in the result. 
Result so far: 4451.8947
If we take 532 away from 560, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 11:
76 can be fit into 280 3 times, resulting in a remainder of 52.
Record the quotient 3 as the next digit in the result. 
Result so far: 4451.89473
If we take 228 away from 280, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 12:
The number 76 fits into 520 6 times, leaving a remainder of 64.
Use 6 as the next digit of our solution. 
Result so far: 4451.894736
Subtract 456 from 520 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Going ahead to step 13:
If we divide 640 by 76, we get 8 and a remainder of 32.
Put 8 as the next digit of the answer. 
Result so far: 4451.8947368
The remainder is 32 after subtracting 608 from 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 14:
320 divided by 76 is 4 with a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 4451.89473684
Subtract 304 from 320 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The final result is 4451.89473684 with a remainder of 1.6e-08.