We look at the division of 76378415 by 338 
Our goal is to divide 76378415 by 338.

Advancing to step 1:
338 can be fit into 7 0 times, resulting in a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 338

On to step 2:
338 can be fit into 76 0 times, resulting in a remainder of 76.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 76, we get 76.
Grab the next digit (3) from the dividend, add it to 76, then carry on: 763 / 338

Moving on to step 3:
338 goes into 763 2 times with a remainder of 87.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we subtract 676 from 763, we get 87.
Take the next digit (7) from the dividend and append it to 87, then repeat: 877 / 338

Advancing to step 4:
338 can be fit into 877 2 times, resulting in a remainder of 201.
The number 2 becomes the next digit in our result. 
Result so far: 22.0
Subtract 676 from 877 to get 201.
Take the next digit (8) from the dividend and append it to 201, then repeat: 2018 / 338

On to step 5:
338 goes into 2018 5 times with a remainder of 328.
The number 5 becomes the next digit in our result. 
Result so far: 225.0
If we take 1690 away from 2018, we end up with 328.
Take the next digit (4) from the dividend and append it to 328, then repeat: 3284 / 338

Advancing to step 6:
If we divide 3284 by 338, we get 9 and a remainder of 242.
Record the quotient 9 as the next digit in the result. 
Result so far: 2259.0
Subtracting 3042 from 3284 leaves us with 242.
Bring next digit (1) of the dividend behind the 242 and repeat the process: 2421 / 338

Let's proceed to step 7:
When dividing 2421 by 338, we get 7 with a remainder of 55.
Record the quotient 7 as the next digit in the result. 
Result so far: 22597.0
If we subtract 2366 from 2421, we get 55.
Fetch the next digit (5) from the dividend, attach it to 55 and continue: 555 / 338

On to step 8:
338 can be fit into 555 1 times, resulting in a remainder of 217.
Put 1 as the next digit of the answer. 
Result so far: 225971.0
Subtract 338 from 555 to get 217.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2170, and continue the process.

Advancing to step 9:
338 can be fit into 2170 6 times, resulting in a remainder of 142.
Use 6 as the next digit of our solution. 
Result so far: 225971.6
If we subtract 2028 from 2170, we get 142.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1420, and continue the process.

On to step 10:
1420 divided by 338 is 4 with a remainder of 68.
The number 4 becomes the next digit in our result. 
Result so far: 225971.64
If we take 1352 away from 1420, we end up with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Let's proceed to step 11:
The number 338 fits into 680 2 times, leaving a remainder of 4.
The next digit of our result is 2. 
Result so far: 225971.642
Subtracting 676 from 680 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 12:
The number 338 fits into 40 0 times, leaving a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 225971.642
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 13:
When dividing 400 by 338, we get 1 with a remainder of 62.
Record the quotient 1 as the next digit in the result. 
Result so far: 225971.64201
Subtract 338 from 400 to get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Moving on to step 14:
The number 338 fits into 620 1 times, leaving a remainder of 282.
Put 1 as the next digit of the answer. 
Result so far: 225971.642011
The remainder is 282 after subtracting 338 from 620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2820, and continue the process.

The final outcome is 225971.642011, with a leftover of 2.82e-05.