We're dividing 6418 by 87 
We want to divide 6418 by 87.

Step 1:
6 divided by 87 is 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 87

Moving on to step 2:
If we divide 64 by 87, we get 0 and a remainder of 64.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 64, we end up with 64.
Fetch the next digit (1) from the dividend, attach it to 64 and continue: 641 / 87

Going ahead to step 3:
641 divided by 87 is 7 with a remainder of 32.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Deduct 609 from 641 and we're left with 32.
Bring next digit (8) of the dividend behind the 32 and repeat the process: 328 / 87

Step 4:
328 divided by 87 is 3 with a remainder of 67.
Record the quotient 3 as the next digit in the result. 
Result so far: 73.0
If we take 261 away from 328, we end up with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Let's proceed to step 5:
If we divide 670 by 87, we get 7 and a remainder of 61.
Record the quotient 7 as the next digit in the result. 
Result so far: 73.7
If we take 609 away from 670, we end up with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Advancing to step 6:
610 divided by 87 is 7 with a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 73.77
Subtracting 609 from 610 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

After the division, we end up with 73.77 and a remainder of 0.001.