98969 ÷ 15 
We want to divide 98969 by 15.

Going ahead to step 1:
The number 15 fits into 9 0 times, leaving a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Include the next digit (8) from the dividend after 9, then repeat: 98 / 15

On to step 2:
The number 15 fits into 98 6 times, leaving a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
If we subtract 90 from 98, we get 8.
Take the next digit (9) from the dividend and append it to 8, then repeat: 89 / 15

Moving on to step 3:
89 divided by 15 is 5 with a remainder of 14.
Use 5 as the next digit of our solution. 
Result so far: 65.0
Subtract 75 from 89 to get 14.
Append the next digit (6) from the dividend to 14 and continue with: 146 / 15

Let's proceed to step 4:
If we divide 146 by 15, we get 9 and a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 659.0
Subtracting 135 from 146 leaves us with 11.
Grab the next digit (9) from the dividend, add it to 11, then carry on: 119 / 15

Going ahead to step 5:
15 goes into 119 7 times with a remainder of 14.
Put 7 as the next digit of the answer. 
Result so far: 6597.0
If we subtract 105 from 119, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 6:
If we divide 140 by 15, we get 9 and a remainder of 5.
Write down 9 as next digit of the result. 
Result so far: 6597.9
If we subtract 135 from 140, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 7:
50 divided by 15 is 3 with a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 6597.93
Subtracting 45 from 50 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 8:
If we divide 50 by 15, we get 3 and a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 6597.933
Deduct 45 from 50 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Our division results in 6597.933 with a remaining 0.0005.