We're dividing 583423 by 97 
Our goal is to divide 583423 by 97.

Step 1:
97 can be fit into 5 0 times, resulting in a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 97

Going ahead to step 2:
58 divided by 97 is 0 with a remainder of 58.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 58 to get 58.
Bring next digit (3) of the dividend behind the 58 and repeat the process: 583 / 97

Step 3:
The number 97 fits into 583 6 times, leaving a remainder of 1.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtract 582 from 583 to get 1.
Take the next digit (4) from the dividend and append it to 1, then repeat: 14 / 97

Step 4:
The number 97 fits into 14 0 times, leaving a remainder of 14.
Write down 0 as next digit of the result. 
Result so far: 60.0
If we take 0 away from 14, we end up with 14.
Take the next digit (2) from the dividend and append it to 14, then repeat: 142 / 97

On to step 5:
142 divided by 97 is 1 with a remainder of 45.
Record the quotient 1 as the next digit in the result. 
Result so far: 601.0
The remainder is 45 after subtracting 97 from 142.
Append the next digit (3) from the dividend to 45 and continue with: 453 / 97

Step 6:
453 divided by 97 is 4 with a remainder of 65.
Use 4 as the next digit of our solution. 
Result so far: 6014.0
If we take 388 away from 453, we end up with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Going ahead to step 7:
If we divide 650 by 97, we get 6 and a remainder of 68.
The number 6 becomes the next digit in our result. 
Result so far: 6014.6
Subtracting 582 from 650 leaves us with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Going ahead to step 8:
When dividing 680 by 97, we get 7 with a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 6014.67
The remainder is 1 after subtracting 679 from 680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 9:
The number 97 fits into 10 0 times, leaving a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 6014.67
If we subtract 0 from 10, 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.

Let's proceed to step 10:
When dividing 100 by 97, we get 1 with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 6014.6701
If we subtract 97 from 100, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 11:
When dividing 30 by 97, we get 0 with a remainder of 30.
The next digit of our result is 0. 
Result so far: 6014.6701
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 12:
97 goes into 300 3 times with a remainder of 9.
The number 3 becomes the next digit in our result. 
Result so far: 6014.670103
If we subtract 291 from 300, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 13:
97 goes into 90 0 times with a remainder of 90.
Use 0 as the next digit of our solution. 
Result so far: 6014.670103
The remainder is 90 after subtracting 0 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Advancing to step 14:
97 goes into 900 9 times with a remainder of 27.
Record the quotient 9 as the next digit in the result. 
Result so far: 6014.67010309
Deduct 873 from 900 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Our division results in 6014.67010309 with a remaining 2.7e-08.