We look at the division of 420159 by 97 
We want to figure out the number of times 420159 can be divided by 97.

Let's proceed to step 1:
97 can be fit into 4 0 times, resulting in 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.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 97

Let's proceed to step 2:
97 can be fit into 42 0 times, resulting in a remainder of 42.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 42, we end up with 42.
Include the next digit (0) from the dividend after 42, then repeat: 420 / 97

Step 3:
97 goes into 420 4 times with a remainder of 32.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtracting 388 from 420 leaves us with 32.
Include the next digit (1) from the dividend after 32, then repeat: 321 / 97

On to step 4:
97 goes into 321 3 times with a remainder of 30.
The next digit of our result is 3. 
Result so far: 43.0
If we subtract 291 from 321, we get 30.
Fetch the next digit (5) from the dividend, attach it to 30 and continue: 305 / 97

Let's proceed to step 5:
The number 97 fits into 305 3 times, leaving a remainder of 14.
Put 3 as the next digit of the answer. 
Result so far: 433.0
If we subtract 291 from 305, we get 14.
Grab the next digit (9) from the dividend, add it to 14, then carry on: 149 / 97

Moving on to step 6:
149 divided by 97 is 1 with a remainder of 52.
Record the quotient 1 as the next digit in the result. 
Result so far: 4331.0
If we take 97 away from 149, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Moving on to step 7:
When dividing 520 by 97, we get 5 with a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 4331.5
Subtracting 485 from 520 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 8:
97 goes into 350 3 times with a remainder of 59.
The number 3 becomes the next digit in our result. 
Result so far: 4331.53
If we take 291 away from 350, we end up with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

On to step 9:
The number 97 fits into 590 6 times, leaving a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 4331.536
If we subtract 582 from 590, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 10:
When dividing 80 by 97, we get 0 with a remainder of 80.
Write down 0 as next digit of the result. 
Result so far: 4331.536
Subtracting 0 from 80 leaves us with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Let's proceed to step 11:
The number 97 fits into 800 8 times, leaving a remainder of 24.
Write down 8 as next digit of the result. 
Result so far: 4331.53608
If we subtract 776 from 800, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 12:
When dividing 240 by 97, we get 2 with a remainder of 46.
The next digit of our result is 2. 
Result so far: 4331.536082
Subtract 194 from 240 to get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Advancing to step 13:
97 can be fit into 460 4 times, resulting in a remainder of 72.
Put 4 as the next digit of the answer. 
Result so far: 4331.5360824
Deduct 388 from 460 and we're left with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Advancing to step 14:
97 goes into 720 7 times with a remainder of 41.
Put 7 as the next digit of the answer. 
Result so far: 4331.53608247
If we take 679 away from 720, we end up with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

The final result is 4331.53608247 with a remainder of 4.1e-08.