We're dividing 352349 by 4 
Our goal is to divide 352349 by 4.

Moving on to step 1:
4 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 4

Advancing to step 2:
4 goes into 35 8 times with a remainder of 3.
The next digit of our result is 8. 
Result so far: 8.0
If we subtract 32 from 35, we get 3.
Grab the next digit (2) from the dividend, add it to 3, then carry on: 32 / 4

Let's proceed to step 3:
4 can be fit into 32 8 times, resulting in a remainder of 0.
The number 8 becomes the next digit in our result. 
Result so far: 88.0
The remainder is 0 after subtracting 32 from 32.
Fetch the next digit (3) from the dividend, attach it to 0 and continue: 3 / 4

On to step 4:
3 divided by 4 is 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 880.0
Subtract 0 from 3 to get 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 4

Advancing to step 5:
34 divided by 4 is 8 with a remainder of 2.
The next digit of our result is 8. 
Result so far: 8808.0
The remainder is 2 after subtracting 32 from 34.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 4

Advancing to step 6:
The number 4 fits into 29 7 times, leaving a remainder of 1.
The next digit of our result is 7. 
Result so far: 88087.0
The remainder is 1 after subtracting 28 from 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
4 goes into 10 2 times with a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 88087.2
Subtract 8 from 10 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 8:
20 divided by 4 is 5 with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 88087.25
Subtract 20 from 20 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 9:
4 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 88087.25
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 10:
If we divide 0 by 4, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 88087.25
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 88087.25, with a leftover of 0.0.