586166 ÷ 94 
We're looking to find how many times 94 goes into 586166.

Moving on to step 1:
When dividing 5 by 94, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 94

Moving on to step 2:
94 can be fit into 58 0 times, resulting in a remainder of 58.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 58 leaves us with 58.
Append the next digit (6) from the dividend to 58 and continue with: 586 / 94

Let's proceed to step 3:
94 goes into 586 6 times with a remainder of 22.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtract 564 from 586 to get 22.
Bring next digit (1) of the dividend behind the 22 and repeat the process: 221 / 94

Advancing to step 4:
If we divide 221 by 94, we get 2 and a remainder of 33.
Write down 2 as next digit of the result. 
Result so far: 62.0
If we subtract 188 from 221, we get 33.
Include the next digit (6) from the dividend after 33, then repeat: 336 / 94

On to step 5:
336 divided by 94 is 3 with a remainder of 54.
Write down 3 as next digit of the result. 
Result so far: 623.0
The remainder is 54 after subtracting 282 from 336.
Grab the next digit (6) from the dividend, add it to 54, then carry on: 546 / 94

Advancing to step 6:
546 divided by 94 is 5 with a remainder of 76.
Write down 5 as next digit of the result. 
Result so far: 6235.0
Deduct 470 from 546 and we're left with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Going ahead to step 7:
94 goes into 760 8 times with a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 6235.8
If we subtract 752 from 760, 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.

Let's proceed to step 8:
94 goes into 80 0 times with a remainder of 80.
Put 0 as the next digit of the answer. 
Result so far: 6235.8
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 9:
The number 94 fits into 800 8 times, leaving a remainder of 48.
The number 8 becomes the next digit in our result. 
Result so far: 6235.808
If we subtract 752 from 800, we get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 10:
When dividing 480 by 94, we get 5 with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 6235.8085
If we subtract 470 from 480, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 11:
The number 94 fits into 100 1 times, leaving a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 6235.80851
Subtract 94 from 100 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 12:
The number 94 fits into 60 0 times, leaving a remainder of 60.
The next digit of our result is 0. 
Result so far: 6235.80851
Subtract 0 from 60 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 13:
The number 94 fits into 600 6 times, leaving a remainder of 36.
Write down 6 as next digit of the result. 
Result so far: 6235.8085106
Subtracting 564 from 600 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 14:
94 goes into 360 3 times with a remainder of 78.
The next digit of our result is 3. 
Result so far: 6235.80851063
Subtract 282 from 360 to get 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

In conclusion, the division gives 6235.80851063 with a balance of 7.8e-08.