Let's divide 2564 by 94
We're looking to find how many times 94 goes into 2564.

Step 1:
When dividing 2 by 94, we get 0 with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 94

Moving on to step 2:
94 can be fit into 25 0 times, resulting in a remainder of 25.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 25, we get 25.
Include the next digit (6) from the dividend after 25, then repeat: 256 / 94

Going ahead to step 3:
If we divide 256 by 94, we get 2 and a remainder of 68.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we take 188 away from 256, we end up with 68.
Include the next digit (4) from the dividend after 68, then repeat: 684 / 94

Moving on to step 4:
94 goes into 684 7 times with a remainder of 26.
Use 7 as the next digit of our solution. 
Result so far: 27.0
Deduct 658 from 684 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 5:
260 divided by 94 is 2 with a remainder of 72.
The number 2 becomes the next digit in our result. 
Result so far: 27.2
Subtracting 188 from 260 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Moving on to step 6:
94 can be fit into 720 7 times, resulting in a remainder of 62.
Write down 7 as next digit of the result. 
Result so far: 27.27
The remainder is 62 after subtracting 658 from 720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Advancing to step 7:
The number 94 fits into 620 6 times, leaving a remainder of 56.
Put 6 as the next digit of the answer. 
Result so far: 27.276
Subtract 564 from 620 to get 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:
When dividing 560 by 94, we get 5 with a remainder of 90.
Put 5 as the next digit of the answer. 
Result so far: 27.2765
The remainder is 90 after subtracting 470 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Step 9:
If we divide 900 by 94, we get 9 and a remainder of 54.
Record the quotient 9 as the next digit in the result. 
Result so far: 27.27659
If we take 846 away from 900, we end up with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Step 10:
94 can be fit into 540 5 times, resulting in a remainder of 70.
Use 5 as the next digit of our solution. 
Result so far: 27.276595
If we take 470 away from 540, 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.

Let's proceed to step 11:
700 divided by 94 is 7 with a remainder of 42.
The number 7 becomes the next digit in our result. 
Result so far: 27.2765957
The remainder is 42 after subtracting 658 from 700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 12:
420 divided by 94 is 4 with a remainder of 44.
Put 4 as the next digit of the answer. 
Result so far: 27.27659574
Subtract 376 from 420 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

The final outcome is 27.27659574, with a leftover of 4.4e-08.