We divide 98519 by 45
We want to divide 98519 by 45.

Advancing to step 1:
9 divided by 45 is 0 with a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Grab the next digit (8) from the dividend, add it to 9, then carry on: 98 / 45

Moving on to step 2:
If we divide 98 by 45, we get 2 and a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we subtract 90 from 98, we get 8.
Append the next digit (5) from the dividend to 8 and continue with: 85 / 45

Advancing to step 3:
45 goes into 85 1 times with a remainder of 40.
Use 1 as the next digit of our solution. 
Result so far: 21.0
Subtract 45 from 85 to get 40.
Append the next digit (1) from the dividend to 40 and continue with: 401 / 45

Let's proceed to step 4:
If we divide 401 by 45, we get 8 and a remainder of 41.
Write down 8 as next digit of the result. 
Result so far: 218.0
Deduct 360 from 401 and we're left with 41.
Take the next digit (9) from the dividend and append it to 41, then repeat: 419 / 45

Step 5:
The number 45 fits into 419 9 times, leaving a remainder of 14.
Write down 9 as next digit of the result. 
Result so far: 2189.0
If we take 405 away from 419, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 6:
The number 45 fits into 140 3 times, leaving a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 2189.3
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.

Step 7:
If we divide 50 by 45, we get 1 and a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 2189.31
If we subtract 45 from 50, 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.

Let's proceed to step 8:
50 divided by 45 is 1 with a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 2189.311
The remainder is 5 after subtracting 45 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

In conclusion, the division gives 2189.311 with a balance of 0.0005.