Let's divide 143576 by 45
We want to divide 143576 by 45.

Advancing to step 1:
If we divide 1 by 45, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 45

On to step 2:
When dividing 14 by 45, we get 0 with a remainder of 14.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 14 and we're left with 14.
Fetch the next digit (3) from the dividend, attach it to 14 and continue: 143 / 45

Moving on to step 3:
When dividing 143 by 45, we get 3 with a remainder of 8.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtract 135 from 143 to get 8.
Grab the next digit (5) from the dividend, add it to 8, then carry on: 85 / 45

On to step 4:
If we divide 85 by 45, we get 1 and a remainder of 40.
Use 1 as the next digit of our solution. 
Result so far: 31.0
Deduct 45 from 85 and we're left with 40.
Grab the next digit (7) from the dividend, add it to 40, then carry on: 407 / 45

On to step 5:
When dividing 407 by 45, we get 9 with a remainder of 2.
The next digit of our result is 9. 
Result so far: 319.0
If we take 405 away from 407, we end up with 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 45

Let's proceed to step 6:
If we divide 26 by 45, we get 0 and a remainder of 26.
Write down 0 as next digit of the result. 
Result so far: 3190.0
If we take 0 away from 26, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 7:
45 goes into 260 5 times with a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 3190.5
The remainder is 35 after subtracting 225 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 8:
If we divide 350 by 45, we get 7 and a remainder of 35.
Write down 7 as next digit of the result. 
Result so far: 3190.57
Deduct 315 from 350 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 9:
350 divided by 45 is 7 with a remainder of 35.
Record the quotient 7 as the next digit in the result. 
Result so far: 3190.577
If we take 315 away from 350, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

The quotient of the division is 3190.577, and the remainder is 0.0035.