We look at the division of 457407 by 87 
We want to divide 457407 by 87.

Step 1:
87 goes into 4 0 times with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Take the next digit (5) from the dividend and append it to 4, then repeat: 45 / 87

Going ahead to step 2:
When dividing 45 by 87, we get 0 with a remainder of 45.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 45, we end up with 45.
Take the next digit (7) from the dividend and append it to 45, then repeat: 457 / 87

On to step 3:
When dividing 457 by 87, we get 5 with a remainder of 22.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtract 435 from 457 to get 22.
Bring next digit (4) of the dividend behind the 22 and repeat the process: 224 / 87

Let's proceed to step 4:
87 can be fit into 224 2 times, resulting in a remainder of 50.
Record the quotient 2 as the next digit in the result. 
Result so far: 52.0
Deduct 174 from 224 and we're left with 50.
Fetch the next digit (0) from the dividend, attach it to 50 and continue: 500 / 87

Step 5:
When dividing 500 by 87, we get 5 with a remainder of 65.
Put 5 as the next digit of the answer. 
Result so far: 525.0
The remainder is 65 after subtracting 435 from 500.
Append the next digit (7) from the dividend to 65 and continue with: 657 / 87

Moving on to step 6:
87 can be fit into 657 7 times, resulting in a remainder of 48.
Record the quotient 7 as the next digit in the result. 
Result so far: 5257.0
The remainder is 48 after subtracting 609 from 657.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 7:
87 goes into 480 5 times with a remainder of 45.
The next digit of our result is 5. 
Result so far: 5257.5
If we take 435 away from 480, we end up with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 8:
If we divide 450 by 87, we get 5 and a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 5257.55
Deduct 435 from 450 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Our division results in 5257.55 with a remaining 0.015.