We look at the division of 414161 by 97 
We want to divide 414161 by 97.

Let's proceed to step 1:
When dividing 4 by 97, we get 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 97

Moving on to step 2:
The number 97 fits into 41 0 times, leaving a remainder of 41.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 41 to get 41.
Grab the next digit (4) from the dividend, add it to 41, then carry on: 414 / 97

On to step 3:
If we divide 414 by 97, we get 4 and a remainder of 26.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
The remainder is 26 after subtracting 388 from 414.
Append the next digit (1) from the dividend to 26 and continue with: 261 / 97

Moving on to step 4:
If we divide 261 by 97, we get 2 and a remainder of 67.
Record the quotient 2 as the next digit in the result. 
Result so far: 42.0
Deduct 194 from 261 and we're left with 67.
Include the next digit (6) from the dividend after 67, then repeat: 676 / 97

Going ahead to step 5:
When dividing 676 by 97, we get 6 with a remainder of 94.
Write down 6 as next digit of the result. 
Result so far: 426.0
Subtract 582 from 676 to get 94.
Append the next digit (1) from the dividend to 94 and continue with: 941 / 97

Going ahead to step 6:
The number 97 fits into 941 9 times, leaving a remainder of 68.
Use 9 as the next digit of our solution. 
Result so far: 4269.0
The remainder is 68 after subtracting 873 from 941.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Step 7:
If we divide 680 by 97, we get 7 and a remainder of 1.
The next digit of our result is 7. 
Result so far: 4269.7
Subtracting 679 from 680 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 8:
97 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 4269.7
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 9:
97 can be fit into 100 1 times, resulting in a remainder of 3.
The next digit of our result is 1. 
Result so far: 4269.701
Deduct 97 from 100 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 10:
The number 97 fits into 30 0 times, leaving a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 4269.701
Subtract 0 from 30 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 11:
300 divided by 97 is 3 with a remainder of 9.
Use 3 as the next digit of our solution. 
Result so far: 4269.70103
If we subtract 291 from 300, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 12:
97 can be fit into 90 0 times, resulting in a remainder of 90.
Write down 0 as next digit of the result. 
Result so far: 4269.70103
Deduct 0 from 90 and we're left with 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

On to step 13:
If we divide 900 by 97, we get 9 and a remainder of 27.
Write down 9 as next digit of the result. 
Result so far: 4269.7010309
The remainder is 27 after subtracting 873 from 900.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Advancing to step 14:
When dividing 270 by 97, we get 2 with a remainder of 76.
Write down 2 as next digit of the result. 
Result so far: 4269.70103092
Subtracting 194 from 270 leaves us with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

In conclusion, the division gives 4269.70103092 with a balance of 7.6e-08.