13987314 ÷ 966 
Our goal is to divide 13987314 by 966.

Going ahead to step 1:
1 divided by 966 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 966

Step 2:
966 can be fit into 13 0 times, resulting in a remainder of 13.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 13 leaves us with 13.
Take the next digit (9) from the dividend and append it to 13, then repeat: 139 / 966

Step 3:
139 divided by 966 is 0 with a remainder of 139.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 139 leaves us with 139.
Take the next digit (8) from the dividend and append it to 139, then repeat: 1398 / 966

Let's proceed to step 4:
The number 966 fits into 1398 1 times, leaving a remainder of 432.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 966 from 1398 to get 432.
Take the next digit (7) from the dividend and append it to 432, then repeat: 4327 / 966

Step 5:
4327 divided by 966 is 4 with a remainder of 463.
Record the quotient 4 as the next digit in the result. 
Result so far: 14.0
Subtracting 3864 from 4327 leaves us with 463.
Bring next digit (3) of the dividend behind the 463 and repeat the process: 4633 / 966

Advancing to step 6:
When dividing 4633 by 966, we get 4 with a remainder of 769.
Write down 4 as next digit of the result. 
Result so far: 144.0
If we take 3864 away from 4633, we end up with 769.
Include the next digit (1) from the dividend after 769, then repeat: 7691 / 966

Moving on to step 7:
The number 966 fits into 7691 7 times, leaving a remainder of 929.
Write down 7 as next digit of the result. 
Result so far: 1447.0
If we subtract 6762 from 7691, we get 929.
Take the next digit (4) from the dividend and append it to 929, then repeat: 9294 / 966

Advancing to step 8:
966 goes into 9294 9 times with a remainder of 600.
The number 9 becomes the next digit in our result. 
Result so far: 14479.0
If we take 8694 away from 9294, we end up with 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6000, and continue the process.

On to step 9:
When dividing 6000 by 966, we get 6 with a remainder of 204.
Put 6 as the next digit of the answer. 
Result so far: 14479.6
If we subtract 5796 from 6000, we get 204.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2040, and continue the process.

Moving on to step 10:
966 can be fit into 2040 2 times, resulting in a remainder of 108.
The next digit of our result is 2. 
Result so far: 14479.62
If we take 1932 away from 2040, we end up with 108.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1080, and continue the process.

Step 11:
1080 divided by 966 is 1 with a remainder of 114.
Record the quotient 1 as the next digit in the result. 
Result so far: 14479.621
If we take 966 away from 1080, we end up with 114.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1140, and continue the process.

On to step 12:
1140 divided by 966 is 1 with a remainder of 174.
Write down 1 as next digit of the result. 
Result so far: 14479.6211
Subtracting 966 from 1140 leaves us with 174.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1740, and continue the process.

The final result is 14479.6211 with a remainder of 0.00174.