14678874 divided by 359 
We're looking to find how many times 359 goes into 14678874.

Advancing to step 1:
When dividing 1 by 359, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (4) from the dividend and append it to 1, then repeat: 14 / 359

Step 2:
359 goes into 14 0 times with a remainder of 14.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 14 and we're left with 14.
Bring next digit (6) of the dividend behind the 14 and repeat the process: 146 / 359

Advancing to step 3:
When dividing 146 by 359, we get 0 with a remainder of 146.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 146 to get 146.
Bring next digit (7) of the dividend behind the 146 and repeat the process: 1467 / 359

Step 4:
The number 359 fits into 1467 4 times, leaving a remainder of 31.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtracting 1436 from 1467 leaves us with 31.
Fetch the next digit (8) from the dividend, attach it to 31 and continue: 318 / 359

Advancing to step 5:
318 divided by 359 is 0 with a remainder of 318.
Write down 0 as next digit of the result. 
Result so far: 40.0
If we take 0 away from 318, we end up with 318.
Bring next digit (8) of the dividend behind the 318 and repeat the process: 3188 / 359

Going ahead to step 6:
When dividing 3188 by 359, we get 8 with a remainder of 316.
Use 8 as the next digit of our solution. 
Result so far: 408.0
If we take 2872 away from 3188, we end up with 316.
Include the next digit (7) from the dividend after 316, then repeat: 3167 / 359

Going ahead to step 7:
If we divide 3167 by 359, we get 8 and a remainder of 295.
Put 8 as the next digit of the answer. 
Result so far: 4088.0
Subtract 2872 from 3167 to get 295.
Grab the next digit (4) from the dividend, add it to 295, then carry on: 2954 / 359

Step 8:
359 goes into 2954 8 times with a remainder of 82.
Put 8 as the next digit of the answer. 
Result so far: 40888.0
If we subtract 2872 from 2954, we get 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Step 9:
If we divide 820 by 359, we get 2 and a remainder of 102.
Use 2 as the next digit of our solution. 
Result so far: 40888.2
Subtract 718 from 820 to get 102.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1020, and continue the process.

On to step 10:
The number 359 fits into 1020 2 times, leaving a remainder of 302.
The number 2 becomes the next digit in our result. 
Result so far: 40888.22
Deduct 718 from 1020 and we're left with 302.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3020, and continue the process.

In conclusion, the division gives 40888.22 with a balance of 0.302.