303422 ÷ 88 
We're looking to find how many times 88 goes into 303422.

On to step 1:
When dividing 3 by 88, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Append the next digit (0) from the dividend to 3 and continue with: 30 / 88

Advancing to step 2:
When dividing 30 by 88, we get 0 with a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 30 and we're left with 30.
Fetch the next digit (3) from the dividend, attach it to 30 and continue: 303 / 88

Going ahead to step 3:
When dividing 303 by 88, we get 3 with a remainder of 39.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Deduct 264 from 303 and we're left with 39.
Grab the next digit (4) from the dividend, add it to 39, then carry on: 394 / 88

Moving on to step 4:
88 can be fit into 394 4 times, resulting in a remainder of 42.
The next digit of our result is 4. 
Result so far: 34.0
If we subtract 352 from 394, we get 42.
Take the next digit (2) from the dividend and append it to 42, then repeat: 422 / 88

On to step 5:
If we divide 422 by 88, we get 4 and a remainder of 70.
Record the quotient 4 as the next digit in the result. 
Result so far: 344.0
Deduct 352 from 422 and we're left with 70.
Include the next digit (2) from the dividend after 70, then repeat: 702 / 88

Going ahead to step 6:
The number 88 fits into 702 7 times, leaving a remainder of 86.
Put 7 as the next digit of the answer. 
Result so far: 3447.0
Subtracting 616 from 702 leaves us with 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Moving on to step 7:
When dividing 860 by 88, we get 9 with a remainder of 68.
The number 9 becomes the next digit in our result. 
Result so far: 3447.9
If we subtract 792 from 860, we get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Going ahead to step 8:
88 goes into 680 7 times with a remainder of 64.
Write down 7 as next digit of the result. 
Result so far: 3447.97
The remainder is 64 after subtracting 616 from 680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Moving on to step 9:
When dividing 640 by 88, we get 7 with a remainder of 24.
The next digit of our result is 7. 
Result so far: 3447.977
Subtracting 616 from 640 leaves us 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.

After the division, we end up with 3447.977 and a remainder of 0.0024.