We look at the division of 87666 by 59 
We're looking to find how many times 59 goes into 87666.

Moving on to step 1:
If we divide 8 by 59, we get 0 and a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Bring next digit (7) of the dividend behind the 8 and repeat the process: 87 / 59

Advancing to step 2:
When dividing 87 by 59, we get 1 with a remainder of 28.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 59 away from 87, we end up with 28.
Append the next digit (6) from the dividend to 28 and continue with: 286 / 59

Moving on to step 3:
The number 59 fits into 286 4 times, leaving a remainder of 50.
Use 4 as the next digit of our solution. 
Result so far: 14.0
If we take 236 away from 286, we end up with 50.
Take the next digit (6) from the dividend and append it to 50, then repeat: 506 / 59

Going ahead to step 4:
506 divided by 59 is 8 with a remainder of 34.
The number 8 becomes the next digit in our result. 
Result so far: 148.0
Subtracting 472 from 506 leaves us with 34.
Grab the next digit (6) from the dividend, add it to 34, then carry on: 346 / 59

Moving on to step 5:
346 divided by 59 is 5 with a remainder of 51.
Write down 5 as next digit of the result. 
Result so far: 1485.0
The remainder is 51 after subtracting 295 from 346.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

On to step 6:
510 divided by 59 is 8 with a remainder of 38.
Use 8 as the next digit of our solution. 
Result so far: 1485.8
Subtract 472 from 510 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 7:
If we divide 380 by 59, we get 6 and a remainder of 26.
The next digit of our result is 6. 
Result so far: 1485.86
The remainder is 26 after subtracting 354 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 8:
260 divided by 59 is 4 with a remainder of 24.
Write down 4 as next digit of the result. 
Result so far: 1485.864
Subtracting 236 from 260 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 9:
240 divided by 59 is 4 with a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 1485.8644
Deduct 236 from 240 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

In conclusion, the division gives 1485.8644 with a balance of 4e-05.