14115869 ÷ 971 
Our goal is to divide 14115869 by 971.

Going ahead to step 1:
1 divided by 971 is 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 971

Step 2:
The number 971 fits into 14 0 times, leaving a remainder of 14.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 14 to get 14.
Append the next digit (1) from the dividend to 14 and continue with: 141 / 971

Advancing to step 3:
If we divide 141 by 971, we get 0 and a remainder of 141.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 141, we end up with 141.
Grab the next digit (1) from the dividend, add it to 141, then carry on: 1411 / 971

Let's proceed to step 4:
971 can be fit into 1411 1 times, resulting in a remainder of 440.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 971 away from 1411, we end up with 440.
Take the next digit (5) from the dividend and append it to 440, then repeat: 4405 / 971

On to step 5:
If we divide 4405 by 971, we get 4 and a remainder of 521.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
Deduct 3884 from 4405 and we're left with 521.
Fetch the next digit (8) from the dividend, attach it to 521 and continue: 5218 / 971

Let's proceed to step 6:
5218 divided by 971 is 5 with a remainder of 363.
Put 5 as the next digit of the answer. 
Result so far: 145.0
If we take 4855 away from 5218, we end up with 363.
Fetch the next digit (6) from the dividend, attach it to 363 and continue: 3636 / 971

Let's proceed to step 7:
When dividing 3636 by 971, we get 3 with a remainder of 723.
The number 3 becomes the next digit in our result. 
Result so far: 1453.0
Subtracting 2913 from 3636 leaves us with 723.
Bring next digit (9) of the dividend behind the 723 and repeat the process: 7239 / 971

Moving on to step 8:
When dividing 7239 by 971, we get 7 with a remainder of 442.
Put 7 as the next digit of the answer. 
Result so far: 14537.0
If we take 6797 away from 7239, we end up with 442.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4420, and continue the process.

Step 9:
971 can be fit into 4420 4 times, resulting in a remainder of 536.
The number 4 becomes the next digit in our result. 
Result so far: 14537.4
Subtract 3884 from 4420 to get 536.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5360, and continue the process.

On to step 10:
When dividing 5360 by 971, we get 5 with a remainder of 505.
Put 5 as the next digit of the answer. 
Result so far: 14537.45
Subtract 4855 from 5360 to get 505.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5050, and continue the process.

Advancing to step 11:
The number 971 fits into 5050 5 times, leaving a remainder of 195.
The next digit of our result is 5. 
Result so far: 14537.455
Subtracting 4855 from 5050 leaves us with 195.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1950, and continue the process.

The final result is 14537.455 with a remainder of 0.0195.