We look at the division of 507659 by 97 
Let's see how many times 97 fits into 507659.

Moving on to step 1:
97 goes into 5 0 times with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 97

Moving on to step 2:
50 divided by 97 is 0 with a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 50, we end up with 50.
Append the next digit (7) from the dividend to 50 and continue with: 507 / 97

Step 3:
97 goes into 507 5 times with a remainder of 22.
Put 5 as the next digit of the answer. 
Result so far: 5.0
The remainder is 22 after subtracting 485 from 507.
Include the next digit (6) from the dividend after 22, then repeat: 226 / 97

Going ahead to step 4:
If we divide 226 by 97, we get 2 and a remainder of 32.
The number 2 becomes the next digit in our result. 
Result so far: 52.0
If we subtract 194 from 226, we get 32.
Append the next digit (5) from the dividend to 32 and continue with: 325 / 97

Step 5:
97 can be fit into 325 3 times, resulting in a remainder of 34.
Use 3 as the next digit of our solution. 
Result so far: 523.0
If we take 291 away from 325, we end up with 34.
Include the next digit (9) from the dividend after 34, then repeat: 349 / 97

Going ahead to step 6:
97 can be fit into 349 3 times, resulting in a remainder of 58.
Record the quotient 3 as the next digit in the result. 
Result so far: 5233.0
Subtracting 291 from 349 leaves us with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Going ahead to step 7:
The number 97 fits into 580 5 times, leaving a remainder of 95.
The number 5 becomes the next digit in our result. 
Result so far: 5233.5
If we subtract 485 from 580, we get 95.
Since there are no more digits in the dividend, we add a zero to the remainder making it 950, and continue the process.

Going ahead to step 8:
The number 97 fits into 950 9 times, leaving a remainder of 77.
Put 9 as the next digit of the answer. 
Result so far: 5233.59
Subtract 873 from 950 to get 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

On to step 9:
97 can be fit into 770 7 times, resulting in a remainder of 91.
The next digit of our result is 7. 
Result so far: 5233.597
Subtracting 679 from 770 leaves us with 91.
Since there are no more digits in the dividend, we add a zero to the remainder making it 910, and continue the process.

Moving on to step 10:
When dividing 910 by 97, we get 9 with a remainder of 37.
The next digit of our result is 9. 
Result so far: 5233.5979
If we take 873 away from 910, we end up with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

On to step 11:
97 can be fit into 370 3 times, resulting in a remainder of 79.
Put 3 as the next digit of the answer. 
Result so far: 5233.59793
Subtract 291 from 370 to get 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

On to step 12:
97 goes into 790 8 times with a remainder of 14.
Use 8 as the next digit of our solution. 
Result so far: 5233.597938
If we take 776 away from 790, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 13:
97 goes into 140 1 times with a remainder of 43.
Write down 1 as next digit of the result. 
Result so far: 5233.5979381
Subtract 97 from 140 to get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Step 14:
97 can be fit into 430 4 times, resulting in a remainder of 42.
Put 4 as the next digit of the answer. 
Result so far: 5233.59793814
Deduct 388 from 430 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

After the division, we end up with 5233.59793814 and a remainder of 4.2e-08.