We look at the division of 644042 by 87 
We're looking to find how many times 87 goes into 644042.

On to step 1:
The number 87 fits into 6 0 times, leaving a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 87

Going ahead to step 2:
The number 87 fits into 64 0 times, leaving a remainder of 64.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 64 and we're left with 64.
Append the next digit (4) from the dividend to 64 and continue with: 644 / 87

Going ahead to step 3:
When dividing 644 by 87, we get 7 with a remainder of 35.
The next digit of our result is 7. 
Result so far: 7.0
Subtracting 609 from 644 leaves us with 35.
Bring next digit (0) of the dividend behind the 35 and repeat the process: 350 / 87

Let's proceed to step 4:
350 divided by 87 is 4 with a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 74.0
If we subtract 348 from 350, we get 2.
Include the next digit (4) from the dividend after 2, then repeat: 24 / 87

Let's proceed to step 5:
24 divided by 87 is 0 with a remainder of 24.
Write down 0 as next digit of the result. 
Result so far: 740.0
Subtracting 0 from 24 leaves us with 24.
Take the next digit (2) from the dividend and append it to 24, then repeat: 242 / 87

On to step 6:
If we divide 242 by 87, we get 2 and a remainder of 68.
The number 2 becomes the next digit in our result. 
Result so far: 7402.0
If we subtract 174 from 242, we get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Going ahead to step 7:
If we divide 680 by 87, we get 7 and a remainder of 71.
Write down 7 as next digit of the result. 
Result so far: 7402.7
Subtracting 609 from 680 leaves us with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Let's proceed to step 8:
87 can be fit into 710 8 times, resulting in a remainder of 14.
Write down 8 as next digit of the result. 
Result so far: 7402.78
If we subtract 696 from 710, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 9:
87 goes into 140 1 times with a remainder of 53.
Record the quotient 1 as the next digit in the result. 
Result so far: 7402.781
If we subtract 87 from 140, we get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Step 10:
87 goes into 530 6 times with a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 7402.7816
If we subtract 522 from 530, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 11:
If we divide 80 by 87, we get 0 and a remainder of 80.
The next digit of our result is 0. 
Result so far: 7402.7816
If we subtract 0 from 80, we get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Step 12:
87 goes into 800 9 times with a remainder of 17.
Write down 9 as next digit of the result. 
Result so far: 7402.781609
Deduct 783 from 800 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 13:
If we divide 170 by 87, we get 1 and a remainder of 83.
Put 1 as the next digit of the answer. 
Result so far: 7402.7816091
Subtract 87 from 170 to get 83.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

On to step 14:
830 divided by 87 is 9 with a remainder of 47.
Use 9 as the next digit of our solution. 
Result so far: 7402.78160919
The remainder is 47 after subtracting 783 from 830.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

In conclusion, the division gives 7402.78160919 with a balance of 4.7e-08.