We divide 876098 by 45
We want to figure out the number of times 876098 can be divided by 45.

Let's proceed to step 1:
8 divided by 45 is 0 with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Include the next digit (7) from the dividend after 8, then repeat: 87 / 45

Going ahead to step 2:
87 divided by 45 is 1 with a remainder of 42.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 45 away from 87, we end up with 42.
Append the next digit (6) from the dividend to 42 and continue with: 426 / 45

Let's proceed to step 3:
45 can be fit into 426 9 times, resulting in a remainder of 21.
The next digit of our result is 9. 
Result so far: 19.0
Subtract 405 from 426 to get 21.
Take the next digit (0) from the dividend and append it to 21, then repeat: 210 / 45

Advancing to step 4:
The number 45 fits into 210 4 times, leaving a remainder of 30.
The number 4 becomes the next digit in our result. 
Result so far: 194.0
Deduct 180 from 210 and we're left with 30.
Append the next digit (9) from the dividend to 30 and continue with: 309 / 45

Advancing to step 5:
When dividing 309 by 45, we get 6 with a remainder of 39.
Write down 6 as next digit of the result. 
Result so far: 1946.0
Subtracting 270 from 309 leaves us with 39.
Append the next digit (8) from the dividend to 39 and continue with: 398 / 45

Moving on to step 6:
45 can be fit into 398 8 times, resulting in a remainder of 38.
Write down 8 as next digit of the result. 
Result so far: 19468.0
Deduct 360 from 398 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 7:
If we divide 380 by 45, we get 8 and a remainder of 20.
Put 8 as the next digit of the answer. 
Result so far: 19468.8
The remainder is 20 after subtracting 360 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 8:
200 divided by 45 is 4 with a remainder of 20.
Put 4 as the next digit of the answer. 
Result so far: 19468.84
Deduct 180 from 200 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 9:
If we divide 200 by 45, we get 4 and a remainder of 20.
Use 4 as the next digit of our solution. 
Result so far: 19468.844
Subtracting 180 from 200 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

In conclusion, the division gives 19468.844 with a balance of 0.002.