We're dividing 87833 by 45 
We're looking to find how many times 45 goes into 87833.

Advancing to step 1:
If we divide 8 by 45, we get 0 and a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 45

On to step 2:
If we divide 87 by 45, we get 1 and a remainder of 42.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 45 from 87, we get 42.
Grab the next digit (8) from the dividend, add it to 42, then carry on: 428 / 45

Going ahead to step 3:
When dividing 428 by 45, we get 9 with a remainder of 23.
Record the quotient 9 as the next digit in the result. 
Result so far: 19.0
If we take 405 away from 428, we end up with 23.
Fetch the next digit (3) from the dividend, attach it to 23 and continue: 233 / 45

Advancing to step 4:
If we divide 233 by 45, we get 5 and a remainder of 8.
Put 5 as the next digit of the answer. 
Result so far: 195.0
Subtract 225 from 233 to get 8.
Include the next digit (3) from the dividend after 8, then repeat: 83 / 45

Step 5:
The number 45 fits into 83 1 times, leaving a remainder of 38.
Use 1 as the next digit of our solution. 
Result so far: 1951.0
The remainder is 38 after subtracting 45 from 83.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 6:
45 goes into 380 8 times with a remainder of 20.
Use 8 as the next digit of our solution. 
Result so far: 1951.8
Subtracting 360 from 380 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.

Advancing to step 7:
The number 45 fits into 200 4 times, leaving a remainder of 20.
Write down 4 as next digit of the result. 
Result so far: 1951.84
The remainder is 20 after subtracting 180 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 8:
45 can be fit into 200 4 times, resulting in a remainder of 20.
Put 4 as the next digit of the answer. 
Result so far: 1951.844
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.

The quotient of the division is 1951.844, and the remainder is 0.002.