418131 ÷ 97 
We want to figure out the number of times 418131 can be divided by 97.

Going ahead to step 1:
The number 97 fits into 4 0 times, leaving a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 97

Going ahead to step 2:
If we divide 41 by 97, we get 0 and a remainder of 41.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 41 after subtracting 0 from 41.
Grab the next digit (8) from the dividend, add it to 41, then carry on: 418 / 97

On to step 3:
If we divide 418 by 97, we get 4 and a remainder of 30.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Deduct 388 from 418 and we're left with 30.
Include the next digit (1) from the dividend after 30, then repeat: 301 / 97

Going ahead to step 4:
The number 97 fits into 301 3 times, leaving a remainder of 10.
The next digit of our result is 3. 
Result so far: 43.0
Subtracting 291 from 301 leaves us with 10.
Append the next digit (3) from the dividend to 10 and continue with: 103 / 97

Advancing to step 5:
97 can be fit into 103 1 times, resulting in a remainder of 6.
The next digit of our result is 1. 
Result so far: 431.0
Subtracting 97 from 103 leaves us with 6.
Fetch the next digit (1) from the dividend, attach it to 6 and continue: 61 / 97

Step 6:
The number 97 fits into 61 0 times, leaving a remainder of 61.
Use 0 as the next digit of our solution. 
Result so far: 4310.0
Subtract 0 from 61 to get 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Advancing to step 7:
The number 97 fits into 610 6 times, leaving a remainder of 28.
Use 6 as the next digit of our solution. 
Result so far: 4310.6
Deduct 582 from 610 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 8:
97 goes into 280 2 times with a remainder of 86.
Use 2 as the next digit of our solution. 
Result so far: 4310.62
Deduct 194 from 280 and we're left with 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Advancing to step 9:
97 goes into 860 8 times with a remainder of 84.
The number 8 becomes the next digit in our result. 
Result so far: 4310.628
If we take 776 away from 860, we end up with 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Moving on to step 10:
97 can be fit into 840 8 times, resulting in a remainder of 64.
The number 8 becomes the next digit in our result. 
Result so far: 4310.6288
Subtract 776 from 840 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

The quotient of the division is 4310.6288, and the remainder is 0.00064.