514257 ÷ 97 
Our goal is to divide 514257 by 97.

Moving on to step 1:
97 can be fit into 5 0 times, resulting in a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 97

Let's proceed to step 2:
If we divide 51 by 97, we get 0 and a remainder of 51.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 51 to get 51.
Append the next digit (4) from the dividend to 51 and continue with: 514 / 97

Step 3:
When dividing 514 by 97, we get 5 with a remainder of 29.
The next digit of our result is 5. 
Result so far: 5.0
Subtracting 485 from 514 leaves us with 29.
Include the next digit (2) from the dividend after 29, then repeat: 292 / 97

Going ahead to step 4:
The number 97 fits into 292 3 times, leaving a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 53.0
If we subtract 291 from 292, we get 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 97

Let's proceed to step 5:
When dividing 15 by 97, we get 0 with a remainder of 15.
The number 0 becomes the next digit in our result. 
Result so far: 530.0
Subtract 0 from 15 to get 15.
Grab the next digit (7) from the dividend, add it to 15, then carry on: 157 / 97

Moving on to step 6:
97 can be fit into 157 1 times, resulting in a remainder of 60.
Put 1 as the next digit of the answer. 
Result so far: 5301.0
If we subtract 97 from 157, we 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.

Moving on to step 7:
The number 97 fits into 600 6 times, leaving a remainder of 18.
Put 6 as the next digit of the answer. 
Result so far: 5301.6
Subtract 582 from 600 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 8:
97 goes into 180 1 times with a remainder of 83.
Write down 1 as next digit of the result. 
Result so far: 5301.61
If we subtract 97 from 180, we get 83.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

Advancing to step 9:
When dividing 830 by 97, we get 8 with a remainder of 54.
The next digit of our result is 8. 
Result so far: 5301.618
The remainder is 54 after subtracting 776 from 830.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Advancing to step 10:
540 divided by 97 is 5 with a remainder of 55.
Record the quotient 5 as the next digit in the result. 
Result so far: 5301.6185
Deduct 485 from 540 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Advancing to step 11:
If we divide 550 by 97, we get 5 and a remainder of 65.
The next digit of our result is 5. 
Result so far: 5301.61855
If we take 485 away from 550, 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.

Our division results in 5301.61855 with a remaining 6.5e-05.