We divide 434768 by 87
Our goal is to divide 434768 by 87.

Step 1:
87 goes into 4 0 times with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 87

Moving on to step 2:
The number 87 fits into 43 0 times, leaving a remainder of 43.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 43 leaves us with 43.
Append the next digit (4) from the dividend to 43 and continue with: 434 / 87

Advancing to step 3:
434 divided by 87 is 4 with a remainder of 86.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we take 348 away from 434, we end up with 86.
Grab the next digit (7) from the dividend, add it to 86, then carry on: 867 / 87

Advancing to step 4:
If we divide 867 by 87, we get 9 and a remainder of 84.
Write down 9 as next digit of the result. 
Result so far: 49.0
Subtract 783 from 867 to get 84.
Fetch the next digit (6) from the dividend, attach it to 84 and continue: 846 / 87

On to step 5:
87 goes into 846 9 times with a remainder of 63.
Put 9 as the next digit of the answer. 
Result so far: 499.0
If we take 783 away from 846, we end up with 63.
Include the next digit (8) from the dividend after 63, then repeat: 638 / 87

Step 6:
638 divided by 87 is 7 with a remainder of 29.
Record the quotient 7 as the next digit in the result. 
Result so far: 4997.0
If we subtract 609 from 638, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Going ahead to step 7:
When dividing 290 by 87, we get 3 with a remainder of 29.
Put 3 as the next digit of the answer. 
Result so far: 4997.3
If we subtract 261 from 290, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 8:
290 divided by 87 is 3 with a remainder of 29.
Use 3 as the next digit of our solution. 
Result so far: 4997.33
Deduct 261 from 290 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

In conclusion, the division gives 4997.33 with a balance of 0.029.