Let's divide 434674 by 97
Our goal is to divide 434674 by 97.

On to step 1:
When dividing 4 by 97, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 97

Moving on to step 2:
97 can be fit into 43 0 times, resulting in a remainder of 43.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 43 and we're left with 43.
Include the next digit (4) from the dividend after 43, then repeat: 434 / 97

Going ahead to step 3:
97 goes into 434 4 times with a remainder of 46.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Deduct 388 from 434 and we're left with 46.
Include the next digit (6) from the dividend after 46, then repeat: 466 / 97

On to step 4:
97 can be fit into 466 4 times, resulting in a remainder of 78.
Use 4 as the next digit of our solution. 
Result so far: 44.0
Deduct 388 from 466 and we're left with 78.
Fetch the next digit (7) from the dividend, attach it to 78 and continue: 787 / 97

Let's proceed to step 5:
787 divided by 97 is 8 with a remainder of 11.
Record the quotient 8 as the next digit in the result. 
Result so far: 448.0
If we subtract 776 from 787, we get 11.
Append the next digit (4) from the dividend to 11 and continue with: 114 / 97

Step 6:
97 goes into 114 1 times with a remainder of 17.
Record the quotient 1 as the next digit in the result. 
Result so far: 4481.0
Subtracting 97 from 114 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 7:
97 can be fit into 170 1 times, resulting in a remainder of 73.
Write down 1 as next digit of the result. 
Result so far: 4481.1
If we take 97 away from 170, we end up with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Step 8:
When dividing 730 by 97, we get 7 with a remainder of 51.
Put 7 as the next digit of the answer. 
Result so far: 4481.17
If we take 679 away from 730, we end up with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Going ahead to step 9:
97 can be fit into 510 5 times, resulting in a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 4481.175
Deduct 485 from 510 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 10:
When dividing 250 by 97, we get 2 with a remainder of 56.
Put 2 as the next digit of the answer. 
Result so far: 4481.1752
If we take 194 away from 250, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 11:
If we divide 560 by 97, we get 5 and a remainder of 75.
Use 5 as the next digit of our solution. 
Result so far: 4481.17525
Subtract 485 from 560 to get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Let's proceed to step 12:
750 divided by 97 is 7 with a remainder of 71.
Put 7 as the next digit of the answer. 
Result so far: 4481.175257
If we take 679 away from 750, we end up with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

On to step 13:
If we divide 710 by 97, we get 7 and a remainder of 31.
The next digit of our result is 7. 
Result so far: 4481.1752577
If we subtract 679 from 710, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Our division results in 4481.1752577 with a remaining 3.1e-07.