We're dividing 4588 by 94 
We're looking to find how many times 94 goes into 4588.

Let's proceed to step 1:
4 divided by 94 is 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Include the next digit (5) from the dividend after 4, then repeat: 45 / 94

Let's proceed to step 2:
94 can be fit into 45 0 times, resulting in a remainder of 45.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 45 after subtracting 0 from 45.
Include the next digit (8) from the dividend after 45, then repeat: 458 / 94

Step 3:
When dividing 458 by 94, we get 4 with a remainder of 82.
The next digit of our result is 4. 
Result so far: 4.0
If we take 376 away from 458, we end up with 82.
Take the next digit (8) from the dividend and append it to 82, then repeat: 828 / 94

On to step 4:
94 can be fit into 828 8 times, resulting in a remainder of 76.
Use 8 as the next digit of our solution. 
Result so far: 48.0
Deduct 752 from 828 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.

On to step 5:
94 goes into 760 8 times with a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 48.8
Deduct 752 from 760 and we're left with 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 6:
The number 94 fits into 80 0 times, leaving a remainder of 80.
Record the quotient 0 as the next digit in the result. 
Result so far: 48.8
Subtracting 0 from 80 leaves us with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Going ahead to step 7:
When dividing 800 by 94, we get 8 with a remainder of 48.
Write down 8 as next digit of the result. 
Result so far: 48.808
Subtract 752 from 800 to 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.

Going ahead to step 8:
If we divide 480 by 94, we get 5 and a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 48.8085
Deduct 470 from 480 and we're left 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.

Step 9:
94 goes into 100 1 times with a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 48.80851
The remainder is 6 after subtracting 94 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 10:
94 can be fit into 60 0 times, resulting in a remainder of 60.
Record the quotient 0 as the next digit in the result. 
Result so far: 48.80851
Subtracting 0 from 60 leaves us with 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 11:
600 divided by 94 is 6 with a remainder of 36.
Put 6 as the next digit of the answer. 
Result so far: 48.8085106
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.

Advancing to step 12:
When dividing 360 by 94, we get 3 with a remainder of 78.
Record the quotient 3 as the next digit in the result. 
Result so far: 48.80851063
If we subtract 282 from 360, we 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.

The final outcome is 48.80851063, with a leftover of 7.8e-08.