We're dividing 96677044 by 338 
We're looking to find how many times 338 goes into 96677044.

Going ahead to step 1:
The number 338 fits into 9 0 times, leaving a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Bring next digit (6) of the dividend behind the 9 and repeat the process: 96 / 338

Let's proceed to step 2:
When dividing 96 by 338, we get 0 with a remainder of 96.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 96 leaves us with 96.
Take the next digit (6) from the dividend and append it to 96, then repeat: 966 / 338

Step 3:
338 can be fit into 966 2 times, resulting in a remainder of 290.
The next digit of our result is 2. 
Result so far: 2.0
Subtracting 676 from 966 leaves us with 290.
Fetch the next digit (7) from the dividend, attach it to 290 and continue: 2907 / 338

Moving on to step 4:
2907 divided by 338 is 8 with a remainder of 203.
The number 8 becomes the next digit in our result. 
Result so far: 28.0
Subtracting 2704 from 2907 leaves us with 203.
Append the next digit (7) from the dividend to 203 and continue with: 2037 / 338

On to step 5:
2037 divided by 338 is 6 with a remainder of 9.
Write down 6 as next digit of the result. 
Result so far: 286.0
Subtracting 2028 from 2037 leaves us with 9.
Bring next digit (0) of the dividend behind the 9 and repeat the process: 90 / 338

Let's proceed to step 6:
90 divided by 338 is 0 with a remainder of 90.
Put 0 as the next digit of the answer. 
Result so far: 2860.0
If we subtract 0 from 90, we get 90.
Take the next digit (4) from the dividend and append it to 90, then repeat: 904 / 338

On to step 7:
When dividing 904 by 338, we get 2 with a remainder of 228.
Record the quotient 2 as the next digit in the result. 
Result so far: 28602.0
Subtract 676 from 904 to get 228.
Take the next digit (4) from the dividend and append it to 228, then repeat: 2284 / 338

Moving on to step 8:
2284 divided by 338 is 6 with a remainder of 256.
Put 6 as the next digit of the answer. 
Result so far: 286026.0
Deduct 2028 from 2284 and we're left with 256.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2560, and continue the process.

Let's proceed to step 9:
338 goes into 2560 7 times with a remainder of 194.
Record the quotient 7 as the next digit in the result. 
Result so far: 286026.7
Deduct 2366 from 2560 and we're left with 194.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1940, and continue the process.

Advancing to step 10:
The number 338 fits into 1940 5 times, leaving a remainder of 250.
Use 5 as the next digit of our solution. 
Result so far: 286026.75
If we subtract 1690 from 1940, we get 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2500, and continue the process.

On to step 11:
When dividing 2500 by 338, we get 7 with a remainder of 134.
Record the quotient 7 as the next digit in the result. 
Result so far: 286026.757
Subtracting 2366 from 2500 leaves us with 134.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1340, and continue the process.

Moving on to step 12:
1340 divided by 338 is 3 with a remainder of 326.
Record the quotient 3 as the next digit in the result. 
Result so far: 286026.7573
Subtract 1014 from 1340 to get 326.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3260, and continue the process.

Moving on to step 13:
338 goes into 3260 9 times with a remainder of 218.
The next digit of our result is 9. 
Result so far: 286026.75739
Deduct 3042 from 3260 and we're left with 218.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2180, and continue the process.

Step 14:
When dividing 2180 by 338, we get 6 with a remainder of 152.
Use 6 as the next digit of our solution. 
Result so far: 286026.757396
If we take 2028 away from 2180, we end up with 152.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1520, and continue the process.

On to step 15:
The number 338 fits into 1520 4 times, leaving a remainder of 168.
Write down 4 as next digit of the result. 
Result so far: 286026.7573964
If we subtract 1352 from 1520, we get 168.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1680, and continue the process.

Let's proceed to step 16:
When dividing 1680 by 338, we get 4 with a remainder of 328.
Use 4 as the next digit of our solution. 
Result so far: 286026.75739644
Deduct 1352 from 1680 and we're left with 328.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3280, and continue the process.

In conclusion, the division gives 286026.75739644 with a balance of 3.28e-07.