462098 ÷ 97 
Our goal is to divide 462098 by 97.

Let's proceed to step 1:
97 goes into 4 0 times with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Take the next digit (6) from the dividend and append it to 4, then repeat: 46 / 97

Going ahead to step 2:
The number 97 fits into 46 0 times, leaving a remainder of 46.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 46 after subtracting 0 from 46.
Include the next digit (2) from the dividend after 46, then repeat: 462 / 97

Moving on to step 3:
97 can be fit into 462 4 times, resulting in a remainder of 74.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Deduct 388 from 462 and we're left with 74.
Bring next digit (0) of the dividend behind the 74 and repeat the process: 740 / 97

Advancing to step 4:
97 goes into 740 7 times with a remainder of 61.
Use 7 as the next digit of our solution. 
Result so far: 47.0
Subtracting 679 from 740 leaves us with 61.
Bring next digit (9) of the dividend behind the 61 and repeat the process: 619 / 97

Step 5:
97 goes into 619 6 times with a remainder of 37.
The next digit of our result is 6. 
Result so far: 476.0
The remainder is 37 after subtracting 582 from 619.
Bring next digit (8) of the dividend behind the 37 and repeat the process: 378 / 97

On to step 6:
If we divide 378 by 97, we get 3 and a remainder of 87.
Record the quotient 3 as the next digit in the result. 
Result so far: 4763.0
The remainder is 87 after subtracting 291 from 378.
Since there are no more digits in the dividend, we add a zero to the remainder making it 870, and continue the process.

Advancing to step 7:
If we divide 870 by 97, we get 8 and a remainder of 94.
The next digit of our result is 8. 
Result so far: 4763.8
If we subtract 776 from 870, we get 94.
Since there are no more digits in the dividend, we add a zero to the remainder making it 940, and continue the process.

On to step 8:
If we divide 940 by 97, we get 9 and a remainder of 67.
The number 9 becomes the next digit in our result. 
Result so far: 4763.89
Subtracting 873 from 940 leaves us with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Step 9:
When dividing 670 by 97, we get 6 with a remainder of 88.
Write down 6 as next digit of the result. 
Result so far: 4763.896
Deduct 582 from 670 and we're left with 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

On to step 10:
97 can be fit into 880 9 times, resulting in a remainder of 7.
Use 9 as the next digit of our solution. 
Result so far: 4763.8969
Subtract 873 from 880 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 11:
97 can be fit into 70 0 times, resulting in a remainder of 70.
The number 0 becomes the next digit in our result. 
Result so far: 4763.8969
Subtracting 0 from 70 leaves us 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.

On to step 12:
97 can be fit into 700 7 times, resulting in a remainder of 21.
Record the quotient 7 as the next digit in the result. 
Result so far: 4763.896907
If we subtract 679 from 700, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 13:
97 goes into 210 2 times with a remainder of 16.
Write down 2 as next digit of the result. 
Result so far: 4763.8969072
Subtracting 194 from 210 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 14:
If we divide 160 by 97, we get 1 and a remainder of 63.
Use 1 as the next digit of our solution. 
Result so far: 4763.89690721
If we take 97 away from 160, we end up with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Our division results in 4763.89690721 with a remaining 6.3e-08.