Let's divide 407342 by 97
We're looking to find how many times 97 goes into 407342.

Advancing to step 1:
When dividing 4 by 97, we get 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Append the next digit (0) from the dividend to 4 and continue with: 40 / 97

On to step 2:
The number 97 fits into 40 0 times, leaving a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 40 after subtracting 0 from 40.
Bring next digit (7) of the dividend behind the 40 and repeat the process: 407 / 97

On to step 3:
When dividing 407 by 97, we get 4 with a remainder of 19.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Subtracting 388 from 407 leaves us with 19.
Take the next digit (3) from the dividend and append it to 19, then repeat: 193 / 97

Advancing to step 4:
When dividing 193 by 97, we get 1 with a remainder of 96.
The number 1 becomes the next digit in our result. 
Result so far: 41.0
Deduct 97 from 193 and we're left with 96.
Grab the next digit (4) from the dividend, add it to 96, then carry on: 964 / 97

Step 5:
97 goes into 964 9 times with a remainder of 91.
The number 9 becomes the next digit in our result. 
Result so far: 419.0
Subtracting 873 from 964 leaves us with 91.
Bring next digit (2) of the dividend behind the 91 and repeat the process: 912 / 97

On to step 6:
912 divided by 97 is 9 with a remainder of 39.
The number 9 becomes the next digit in our result. 
Result so far: 4199.0
Deduct 873 from 912 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Let's proceed to step 7:
390 divided by 97 is 4 with a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 4199.4
Deduct 388 from 390 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 8:
97 can be fit into 20 0 times, resulting in a remainder of 20.
The next digit of our result is 0. 
Result so far: 4199.4
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 9:
The number 97 fits into 200 2 times, leaving a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 4199.402
If we take 194 away from 200, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 10:
60 divided by 97 is 0 with a remainder of 60.
Write down 0 as next digit of the result. 
Result so far: 4199.402
If we subtract 0 from 60, 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.

Going ahead to step 11:
97 can be fit into 600 6 times, resulting in a remainder of 18.
Put 6 as the next digit of the answer. 
Result so far: 4199.40206
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.

On to step 12:
180 divided by 97 is 1 with a remainder of 83.
Put 1 as the next digit of the answer. 
Result so far: 4199.402061
Deduct 97 from 180 and we're left with 83.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

Step 13:
The number 97 fits into 830 8 times, leaving a remainder of 54.
The next digit of our result is 8. 
Result so far: 4199.4020618
If we subtract 776 from 830, we get 54.
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 14:
97 can be fit into 540 5 times, resulting in a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 4199.40206185
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.

In conclusion, the division gives 4199.40206185 with a balance of 5.5e-08.