95914 ÷ 15 
Let's see how many times 15 fits into 95914.

Let's proceed to step 1:
15 goes into 9 0 times with a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Fetch the next digit (5) from the dividend, attach it to 9 and continue: 95 / 15

Advancing to step 2:
15 can be fit into 95 6 times, resulting in a remainder of 5.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we subtract 90 from 95, we get 5.
Take the next digit (9) from the dividend and append it to 5, then repeat: 59 / 15

Moving on to step 3:
15 can be fit into 59 3 times, resulting in a remainder of 14.
The next digit of our result is 3. 
Result so far: 63.0
Subtract 45 from 59 to get 14.
Take the next digit (1) from the dividend and append it to 14, then repeat: 141 / 15

On to step 4:
If we divide 141 by 15, we get 9 and a remainder of 6.
Use 9 as the next digit of our solution. 
Result so far: 639.0
If we take 135 away from 141, we end up with 6.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 15

Step 5:
When dividing 64 by 15, we get 4 with a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 6394.0
If we take 60 away from 64, we end up 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.

Let's proceed to step 6:
The number 15 fits into 40 2 times, leaving a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 6394.2
The remainder is 10 after subtracting 30 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 7:
The number 15 fits into 100 6 times, leaving a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 6394.26
Subtracting 90 from 100 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
When dividing 100 by 15, we get 6 with a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 6394.266
Subtracting 90 from 100 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Our division results in 6394.266 with a remaining 0.001.