601969 ÷ 97 
We want to divide 601969 by 97.

On to step 1:
When dividing 6 by 97, we get 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Append the next digit (0) from the dividend to 6 and continue with: 60 / 97

Let's proceed to step 2:
When dividing 60 by 97, we get 0 with a remainder of 60.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 60 and we're left with 60.
Fetch the next digit (1) from the dividend, attach it to 60 and continue: 601 / 97

Let's proceed to step 3:
601 divided by 97 is 6 with a remainder of 19.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Deduct 582 from 601 and we're left with 19.
Take the next digit (9) from the dividend and append it to 19, then repeat: 199 / 97

Moving on to step 4:
97 can be fit into 199 2 times, resulting in a remainder of 5.
Use 2 as the next digit of our solution. 
Result so far: 62.0
Deduct 194 from 199 and we're left with 5.
Include the next digit (6) from the dividend after 5, then repeat: 56 / 97

Step 5:
97 goes into 56 0 times with a remainder of 56.
Put 0 as the next digit of the answer. 
Result so far: 620.0
If we subtract 0 from 56, we get 56.
Bring next digit (9) of the dividend behind the 56 and repeat the process: 569 / 97

Going ahead to step 6:
If we divide 569 by 97, we get 5 and a remainder of 84.
Record the quotient 5 as the next digit in the result. 
Result so far: 6205.0
If we subtract 485 from 569, we get 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Let's proceed to step 7:
If we divide 840 by 97, we get 8 and a remainder of 64.
Write down 8 as next digit of the result. 
Result so far: 6205.8
If we subtract 776 from 840, we get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

On to step 8:
640 divided by 97 is 6 with a remainder of 58.
The number 6 becomes the next digit in our result. 
Result so far: 6205.86
The remainder is 58 after subtracting 582 from 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Going ahead to step 9:
If we divide 580 by 97, we get 5 and a remainder of 95.
The number 5 becomes the next digit in our result. 
Result so far: 6205.865
Subtracting 485 from 580 leaves us 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.

Step 10:
If we divide 950 by 97, we get 9 and a remainder of 77.
The next digit of our result is 9. 
Result so far: 6205.8659
If we take 873 away from 950, we end up 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.

Moving on to step 11:
97 can be fit into 770 7 times, resulting in a remainder of 91.
The next digit of our result is 7. 
Result so far: 6205.86597
Subtracting 679 from 770 leaves us with 91.
Since there are no more digits in the dividend, we add a zero to the remainder making it 910, and continue the process.

Going ahead to step 12:
910 divided by 97 is 9 with a remainder of 37.
Use 9 as the next digit of our solution. 
Result so far: 6205.865979
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 13:
370 divided by 97 is 3 with a remainder of 79.
Record the quotient 3 as the next digit in the result. 
Result so far: 6205.8659793
Deduct 291 from 370 and we're left with 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Advancing to step 14:
790 divided by 97 is 8 with a remainder of 14.
Write down 8 as next digit of the result. 
Result so far: 6205.86597938
The remainder is 14 after subtracting 776 from 790.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

In conclusion, the division gives 6205.86597938 with a balance of 1.4e-08.