Let's divide 661294 by 87
We're looking to find how many times 87 goes into 661294.

Going ahead to step 1:
87 can be fit into 6 0 times, resulting in a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 87

On to step 2:
When dividing 66 by 87, we get 0 with a remainder of 66.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 66 and we're left with 66.
Include the next digit (1) from the dividend after 66, then repeat: 661 / 87

Moving on to step 3:
When dividing 661 by 87, we get 7 with a remainder of 52.
Write down 7 as next digit of the result. 
Result so far: 7.0
Subtracting 609 from 661 leaves us with 52.
Take the next digit (2) from the dividend and append it to 52, then repeat: 522 / 87

Going ahead to step 4:
87 can be fit into 522 6 times, resulting in a remainder of 0.
Use 6 as the next digit of our solution. 
Result so far: 76.0
If we take 522 away from 522, we end up with 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 87

On to step 5:
When dividing 9 by 87, we get 0 with a remainder of 9.
The next digit of our result is 0. 
Result so far: 760.0
The remainder is 9 after subtracting 0 from 9.
Take the next digit (4) from the dividend and append it to 9, then repeat: 94 / 87

Advancing to step 6:
87 goes into 94 1 times with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 7601.0
Deduct 87 from 94 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 7:
If we divide 70 by 87, we get 0 and a remainder of 70.
The next digit of our result is 0. 
Result so far: 7601.0
If we take 0 away from 70, we end up with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Step 8:
87 can be fit into 700 8 times, resulting in a remainder of 4.
The next digit of our result is 8. 
Result so far: 7601.08
Subtract 696 from 700 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 9:
87 goes into 40 0 times with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 7601.08
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 10:
87 can be fit into 400 4 times, resulting in a remainder of 52.
The next digit of our result is 4. 
Result so far: 7601.0804
If we subtract 348 from 400, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 11:
87 goes into 520 5 times with a remainder of 85.
The number 5 becomes the next digit in our result. 
Result so far: 7601.08045
Deduct 435 from 520 and we're left with 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

Step 12:
850 divided by 87 is 9 with a remainder of 67.
The number 9 becomes the next digit in our result. 
Result so far: 7601.080459
If we take 783 away from 850, 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.

On to step 13:
87 goes into 670 7 times with a remainder of 61.
Use 7 as the next digit of our solution. 
Result so far: 7601.0804597
The remainder is 61 after subtracting 609 from 670.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Moving on to step 14:
The number 87 fits into 610 7 times, leaving a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 7601.08045977
Subtract 609 from 610 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

In conclusion, the division gives 7601.08045977 with a balance of 1e-09.