669638 ÷ 87 
We're looking to find how many times 87 goes into 669638.

Going ahead to step 1:
87 can be fit into 6 0 times, resulting in a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 87

On to step 2:
When dividing 66 by 87, we get 0 with a remainder of 66.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 66 and we're left with 66.
Append the next digit (9) from the dividend to 66 and continue with: 669 / 87

Let's proceed to step 3:
If we divide 669 by 87, we get 7 and a remainder of 60.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we take 609 away from 669, we end up with 60.
Bring next digit (6) of the dividend behind the 60 and repeat the process: 606 / 87

Step 4:
606 divided by 87 is 6 with a remainder of 84.
The number 6 becomes the next digit in our result. 
Result so far: 76.0
If we take 522 away from 606, we end up with 84.
Grab the next digit (3) from the dividend, add it to 84, then carry on: 843 / 87

Let's proceed to step 5:
The number 87 fits into 843 9 times, leaving a remainder of 60.
Put 9 as the next digit of the answer. 
Result so far: 769.0
Deduct 783 from 843 and we're left with 60.
Grab the next digit (8) from the dividend, add it to 60, then carry on: 608 / 87

Advancing to step 6:
87 goes into 608 6 times with a remainder of 86.
Use 6 as the next digit of our solution. 
Result so far: 7696.0
The remainder is 86 after subtracting 522 from 608.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Step 7:
When dividing 860 by 87, we get 9 with a remainder of 77.
Put 9 as the next digit of the answer. 
Result so far: 7696.9
Subtracting 783 from 860 leaves us with 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Let's proceed to step 8:
If we divide 770 by 87, we get 8 and a remainder of 74.
Record the quotient 8 as the next digit in the result. 
Result so far: 7696.98
If we take 696 away from 770, we end up with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Going ahead to step 9:
If we divide 740 by 87, we get 8 and a remainder of 44.
Put 8 as the next digit of the answer. 
Result so far: 7696.988
If we take 696 away from 740, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

After the division, we end up with 7696.988 and a remainder of 0.0044.