We look at the division of 15914 by 89 
We're looking to find how many times 89 goes into 15914.

On to step 1:
89 goes into 1 0 times with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 89

Moving on to step 2:
89 can be fit into 15 0 times, resulting in a remainder of 15.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 15 after subtracting 0 from 15.
Fetch the next digit (9) from the dividend, attach it to 15 and continue: 159 / 89

Moving on to step 3:
When dividing 159 by 89, we get 1 with a remainder of 70.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 89 away from 159, we end up with 70.
Include the next digit (1) from the dividend after 70, then repeat: 701 / 89

Step 4:
The number 89 fits into 701 7 times, leaving a remainder of 78.
Write down 7 as next digit of the result. 
Result so far: 17.0
If we subtract 623 from 701, we get 78.
Bring next digit (4) of the dividend behind the 78 and repeat the process: 784 / 89

Going ahead to step 5:
89 goes into 784 8 times with a remainder of 72.
The number 8 becomes the next digit in our result. 
Result so far: 178.0
Subtract 712 from 784 to get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Step 6:
When dividing 720 by 89, we get 8 with a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 178.8
If we take 712 away from 720, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 7:
If we divide 80 by 89, we get 0 and a remainder of 80.
Use 0 as the next digit of our solution. 
Result so far: 178.8
Subtract 0 from 80 to get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Going ahead to step 8:
The number 89 fits into 800 8 times, leaving a remainder of 88.
Record the quotient 8 as the next digit in the result. 
Result so far: 178.808
Subtract 712 from 800 to get 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Step 9:
When dividing 880 by 89, we get 9 with a remainder of 79.
The next digit of our result is 9. 
Result so far: 178.8089
If we subtract 801 from 880, we get 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Step 10:
The number 89 fits into 790 8 times, leaving a remainder of 78.
Put 8 as the next digit of the answer. 
Result so far: 178.80898
Subtract 712 from 790 to get 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Moving on to step 11:
When dividing 780 by 89, we get 8 with a remainder of 68.
Record the quotient 8 as the next digit in the result. 
Result so far: 178.808988
If we take 712 away from 780, 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.

After the division, we end up with 178.808988 and a remainder of 6.8e-06.