We look at the division of 434546 by 88 
We're looking to find how many times 88 goes into 434546.

Moving on to step 1:
4 divided by 88 is 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 88

On to step 2:
If we divide 43 by 88, we get 0 and a remainder of 43.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 43, we end up with 43.
Fetch the next digit (4) from the dividend, attach it to 43 and continue: 434 / 88

Going ahead to step 3:
88 goes into 434 4 times with a remainder of 82.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Subtracting 352 from 434 leaves us with 82.
Include the next digit (5) from the dividend after 82, then repeat: 825 / 88

Step 4:
88 goes into 825 9 times with a remainder of 33.
Use 9 as the next digit of our solution. 
Result so far: 49.0
The remainder is 33 after subtracting 792 from 825.
Append the next digit (4) from the dividend to 33 and continue with: 334 / 88

Moving on to step 5:
The number 88 fits into 334 3 times, leaving a remainder of 70.
Record the quotient 3 as the next digit in the result. 
Result so far: 493.0
The remainder is 70 after subtracting 264 from 334.
Take the next digit (6) from the dividend and append it to 70, then repeat: 706 / 88

Let's proceed to step 6:
88 goes into 706 8 times with a remainder of 2.
The next digit of our result is 8. 
Result so far: 4938.0
Subtract 704 from 706 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.

Step 7:
20 divided by 88 is 0 with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 4938.0
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 8:
88 goes into 200 2 times with a remainder of 24.
Record the quotient 2 as the next digit in the result. 
Result so far: 4938.02
Subtract 176 from 200 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.

Advancing to step 9:
The number 88 fits into 240 2 times, leaving a remainder of 64.
The number 2 becomes the next digit in our result. 
Result so far: 4938.022
If we subtract 176 from 240, we get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

The quotient of the division is 4938.022, and the remainder is 0.0064.