We're dividing 98677 by 45 
We're looking to find how many times 45 goes into 98677.

On to step 1:
If we divide 9 by 45, we get 0 and a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Append the next digit (8) from the dividend to 9 and continue with: 98 / 45

Going ahead to step 2:
If we divide 98 by 45, we get 2 and a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
The remainder is 8 after subtracting 90 from 98.
Append the next digit (6) from the dividend to 8 and continue with: 86 / 45

Advancing to step 3:
86 divided by 45 is 1 with a remainder of 41.
Put 1 as the next digit of the answer. 
Result so far: 21.0
The remainder is 41 after subtracting 45 from 86.
Include the next digit (7) from the dividend after 41, then repeat: 417 / 45

Step 4:
If we divide 417 by 45, we get 9 and a remainder of 12.
Write down 9 as next digit of the result. 
Result so far: 219.0
Subtracting 405 from 417 leaves us with 12.
Grab the next digit (7) from the dividend, add it to 12, then carry on: 127 / 45

Let's proceed to step 5:
45 can be fit into 127 2 times, resulting in a remainder of 37.
Put 2 as the next digit of the answer. 
Result so far: 2192.0
If we take 90 away from 127, we end up with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 6:
45 goes into 370 8 times with a remainder of 10.
Put 8 as the next digit of the answer. 
Result so far: 2192.8
Subtract 360 from 370 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 7:
45 can be fit into 100 2 times, resulting in a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 2192.82
If we take 90 away from 100, we end up 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.

Step 8:
100 divided by 45 is 2 with a remainder of 10.
The next digit of our result is 2. 
Result so far: 2192.822
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.

After the division, we end up with 2192.822 and a remainder of 0.001.