We're dividing 436461 by 97 
We want to divide 436461 by 97.

Going ahead 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
Subtract 0 from 4 to get 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 97

On to step 2:
If we divide 43 by 97, we get 0 and a remainder of 43.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 43, we get 43.
Grab the next digit (6) from the dividend, add it to 43, then carry on: 436 / 97

On to step 3:
436 divided by 97 is 4 with a remainder of 48.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
The remainder is 48 after subtracting 388 from 436.
Take the next digit (4) from the dividend and append it to 48, then repeat: 484 / 97

Advancing to step 4:
If we divide 484 by 97, we get 4 and a remainder of 96.
The next digit of our result is 4. 
Result so far: 44.0
The remainder is 96 after subtracting 388 from 484.
Include the next digit (6) from the dividend after 96, then repeat: 966 / 97

Moving on to step 5:
The number 97 fits into 966 9 times, leaving a remainder of 93.
Write down 9 as next digit of the result. 
Result so far: 449.0
Deduct 873 from 966 and we're left with 93.
Grab the next digit (1) from the dividend, add it to 93, then carry on: 931 / 97

On to step 6:
97 goes into 931 9 times with a remainder of 58.
The number 9 becomes the next digit in our result. 
Result so far: 4499.0
Subtract 873 from 931 to get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

On to step 7:
580 divided by 97 is 5 with a remainder of 95.
Write down 5 as next digit of the result. 
Result so far: 4499.5
Deduct 485 from 580 and we're left with 95.
Since there are no more digits in the dividend, we add a zero to the remainder making it 950, and continue the process.

On to step 8:
97 goes into 950 9 times with a remainder of 77.
The next digit of our result is 9. 
Result so far: 4499.59
Deduct 873 from 950 and we're left with 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

On to step 9:
When dividing 770 by 97, we get 7 with a remainder of 91.
Write down 7 as next digit of the result. 
Result so far: 4499.597
If we subtract 679 from 770, we get 91.
Since there are no more digits in the dividend, we add a zero to the remainder making it 910, and continue the process.

Let's proceed to step 10:
When dividing 910 by 97, we get 9 with a remainder of 37.
Use 9 as the next digit of our solution. 
Result so far: 4499.5979
If we subtract 873 from 910, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 11:
When dividing 370 by 97, we get 3 with a remainder of 79.
The next digit of our result is 3. 
Result so far: 4499.59793
Subtract 291 from 370 to get 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Let's proceed to step 12:
The number 97 fits into 790 8 times, leaving a remainder of 14.
The number 8 becomes the next digit in our result. 
Result so far: 4499.597938
Subtract 776 from 790 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 13:
When dividing 140 by 97, we get 1 with a remainder of 43.
The number 1 becomes the next digit in our result. 
Result so far: 4499.5979381
Subtract 97 from 140 to get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Let's proceed to step 14:
The number 97 fits into 430 4 times, leaving a remainder of 42.
The number 4 becomes the next digit in our result. 
Result so far: 4499.59793814
If we take 388 away from 430, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Our division results in 4499.59793814 with a remaining 4.2e-08.