We're dividing 81666 by 59 
We're looking to find how many times 59 goes into 81666.

Moving on to step 1:
8 divided by 59 is 0 with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Fetch the next digit (1) from the dividend, attach it to 8 and continue: 81 / 59

Going ahead to step 2:
If we divide 81 by 59, we get 1 and a remainder of 22.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 59 from 81 and we're left with 22.
Bring next digit (6) of the dividend behind the 22 and repeat the process: 226 / 59

Advancing to step 3:
59 can be fit into 226 3 times, resulting in a remainder of 49.
Use 3 as the next digit of our solution. 
Result so far: 13.0
If we subtract 177 from 226, we get 49.
Bring next digit (6) of the dividend behind the 49 and repeat the process: 496 / 59

Let's proceed to step 4:
The number 59 fits into 496 8 times, leaving a remainder of 24.
The number 8 becomes the next digit in our result. 
Result so far: 138.0
Subtracting 472 from 496 leaves us with 24.
Bring next digit (6) of the dividend behind the 24 and repeat the process: 246 / 59

Advancing to step 5:
If we divide 246 by 59, we get 4 and a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 1384.0
If we take 236 away from 246, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 6:
If we divide 100 by 59, we get 1 and a remainder of 41.
The number 1 becomes the next digit in our result. 
Result so far: 1384.1
Subtracting 59 from 100 leaves us with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Advancing to step 7:
If we divide 410 by 59, we get 6 and a remainder of 56.
Record the quotient 6 as the next digit in the result. 
Result so far: 1384.16
Deduct 354 from 410 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 8:
59 goes into 560 9 times with a remainder of 29.
Write down 9 as next digit of the result. 
Result so far: 1384.169
Subtracting 531 from 560 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 9:
59 goes into 290 4 times with a remainder of 54.
Write down 4 as next digit of the result. 
Result so far: 1384.1694
If we subtract 236 from 290, we get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Let's proceed to step 10:
If we divide 540 by 59, we get 9 and a remainder of 9.
Use 9 as the next digit of our solution. 
Result so far: 1384.16949
Subtracting 531 from 540 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 11:
The number 59 fits into 90 1 times, leaving a remainder of 31.
Record the quotient 1 as the next digit in the result. 
Result so far: 1384.169491
If we take 59 away from 90, we end up with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 12:
If we divide 310 by 59, we get 5 and a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 1384.1694915
If we take 295 away from 310, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 13:
59 can be fit into 150 2 times, resulting in a remainder of 32.
Record the quotient 2 as the next digit in the result. 
Result so far: 1384.16949152
If we subtract 118 from 150, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The final result is 1384.16949152 with a remainder of 3.2e-08.