Let's divide 421340 by 97
Our goal is to divide 421340 by 97.

Going ahead to step 1:
97 goes into 4 0 times with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 97

Going ahead to step 2:
When dividing 42 by 97, we get 0 with a remainder of 42.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 42, we end up with 42.
Grab the next digit (1) from the dividend, add it to 42, then carry on: 421 / 97

Step 3:
If we divide 421 by 97, we get 4 and a remainder of 33.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Subtracting 388 from 421 leaves us with 33.
Bring next digit (3) of the dividend behind the 33 and repeat the process: 333 / 97

Advancing to step 4:
97 goes into 333 3 times with a remainder of 42.
Record the quotient 3 as the next digit in the result. 
Result so far: 43.0
Subtract 291 from 333 to get 42.
Append the next digit (4) from the dividend to 42 and continue with: 424 / 97

Moving on to step 5:
97 can be fit into 424 4 times, resulting in a remainder of 36.
Write down 4 as next digit of the result. 
Result so far: 434.0
If we take 388 away from 424, we end up with 36.
Bring next digit (0) of the dividend behind the 36 and repeat the process: 360 / 97

Moving on to step 6:
97 goes into 360 3 times with a remainder of 69.
The number 3 becomes the next digit in our result. 
Result so far: 4343.0
Subtract 291 from 360 to get 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Step 7:
The number 97 fits into 690 7 times, leaving a remainder of 11.
Put 7 as the next digit of the answer. 
Result so far: 4343.7
If we take 679 away from 690, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 8:
97 can be fit into 110 1 times, resulting in a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 4343.71
Subtracting 97 from 110 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 9:
When dividing 130 by 97, we get 1 with a remainder of 33.
The number 1 becomes the next digit in our result. 
Result so far: 4343.711
Subtracting 97 from 130 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Our division results in 4343.711 with a remaining 0.0033.