352534 ÷ 96 
Our goal is to divide 352534 by 96.

Let's proceed to step 1:
3 divided by 96 is 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 96

Advancing to step 2:
When dividing 35 by 96, we get 0 with a remainder of 35.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 35 after subtracting 0 from 35.
Take the next digit (2) from the dividend and append it to 35, then repeat: 352 / 96

On to step 3:
When dividing 352 by 96, we get 3 with a remainder of 64.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Deduct 288 from 352 and we're left with 64.
Fetch the next digit (5) from the dividend, attach it to 64 and continue: 645 / 96

Advancing to step 4:
When dividing 645 by 96, we get 6 with a remainder of 69.
Record the quotient 6 as the next digit in the result. 
Result so far: 36.0
If we subtract 576 from 645, we get 69.
Bring next digit (3) of the dividend behind the 69 and repeat the process: 693 / 96

Advancing to step 5:
If we divide 693 by 96, we get 7 and a remainder of 21.
The number 7 becomes the next digit in our result. 
Result so far: 367.0
If we take 672 away from 693, we end up with 21.
Include the next digit (4) from the dividend after 21, then repeat: 214 / 96

Let's proceed to step 6:
The number 96 fits into 214 2 times, leaving a remainder of 22.
The next digit of our result is 2. 
Result so far: 3672.0
The remainder is 22 after subtracting 192 from 214.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 7:
96 goes into 220 2 times with a remainder of 28.
Write down 2 as next digit of the result. 
Result so far: 3672.2
If we take 192 away from 220, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 8:
96 goes into 280 2 times with a remainder of 88.
Write down 2 as next digit of the result. 
Result so far: 3672.22
Subtract 192 from 280 to get 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

The quotient of the division is 3672.22, and the remainder is 0.088.