We're dividing 3153 by 43 
We're looking to find how many times 43 goes into 3153.

Let's proceed to step 1:
If we divide 3 by 43, we get 0 and a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 43

Going ahead to step 2:
If we divide 31 by 43, we get 0 and a remainder of 31.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 31 and we're left with 31.
Bring next digit (5) of the dividend behind the 31 and repeat the process: 315 / 43

Going ahead to step 3:
When dividing 315 by 43, we get 7 with a remainder of 14.
Put 7 as the next digit of the answer. 
Result so far: 7.0
If we take 301 away from 315, we end up with 14.
Fetch the next digit (3) from the dividend, attach it to 14 and continue: 143 / 43

Going ahead to step 4:
143 divided by 43 is 3 with a remainder of 14.
Write down 3 as next digit of the result. 
Result so far: 73.0
The remainder is 14 after subtracting 129 from 143.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 5:
43 goes into 140 3 times with a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 73.3
The remainder is 11 after subtracting 129 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 6:
If we divide 110 by 43, we get 2 and a remainder of 24.
The next digit of our result is 2. 
Result so far: 73.32
If we take 86 away from 110, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 7:
43 can be fit into 240 5 times, resulting in a remainder of 25.
The next digit of our result is 5. 
Result so far: 73.325
If we take 215 away from 240, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 8:
43 goes into 250 5 times with a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 73.3255
Subtracting 215 from 250 leaves us 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 73.3255, and the remainder is 0.00035.