We look at the division of 343565 by 88 
We're looking to find how many times 88 goes into 343565.

Let's proceed to step 1:
88 goes into 3 0 times with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 88

Going ahead to step 2:
88 goes into 34 0 times with a remainder of 34.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 34 leaves us with 34.
Take the next digit (3) from the dividend and append it to 34, then repeat: 343 / 88

Step 3:
When dividing 343 by 88, we get 3 with a remainder of 79.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we subtract 264 from 343, we get 79.
Bring next digit (5) of the dividend behind the 79 and repeat the process: 795 / 88

On to step 4:
The number 88 fits into 795 9 times, leaving a remainder of 3.
The next digit of our result is 9. 
Result so far: 39.0
Deduct 792 from 795 and we're left with 3.
Take the next digit (6) from the dividend and append it to 3, then repeat: 36 / 88

Moving on to step 5:
The number 88 fits into 36 0 times, leaving a remainder of 36.
The number 0 becomes the next digit in our result. 
Result so far: 390.0
The remainder is 36 after subtracting 0 from 36.
Grab the next digit (5) from the dividend, add it to 36, then carry on: 365 / 88

Moving on to step 6:
88 goes into 365 4 times with a remainder of 13.
Use 4 as the next digit of our solution. 
Result so far: 3904.0
Deduct 352 from 365 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 7:
If we divide 130 by 88, we get 1 and a remainder of 42.
Record the quotient 1 as the next digit in the result. 
Result so far: 3904.1
Subtracting 88 from 130 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 8:
88 can be fit into 420 4 times, resulting in a remainder of 68.
Record the quotient 4 as the next digit in the result. 
Result so far: 3904.14
The remainder is 68 after subtracting 352 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Moving on to step 9:
If we divide 680 by 88, we get 7 and a remainder of 64.
The number 7 becomes the next digit in our result. 
Result so far: 3904.147
Deduct 616 from 680 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Going ahead to step 10:
If we divide 640 by 88, we get 7 and a remainder of 24.
Put 7 as the next digit of the answer. 
Result so far: 3904.1477
Subtract 616 from 640 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

The quotient of the division is 3904.1477, and the remainder is 0.00024.