We divide 601023 by 61
Our goal is to divide 601023 by 61.

Going ahead to step 1:
When dividing 6 by 61, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Append the next digit (0) from the dividend to 6 and continue with: 60 / 61

Step 2:
61 goes into 60 0 times with a remainder of 60.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 60 leaves us with 60.
Bring next digit (1) of the dividend behind the 60 and repeat the process: 601 / 61

Advancing to step 3:
When dividing 601 by 61, we get 9 with a remainder of 52.
The next digit of our result is 9. 
Result so far: 9.0
If we subtract 549 from 601, we get 52.
Take the next digit (0) from the dividend and append it to 52, then repeat: 520 / 61

Going ahead to step 4:
61 goes into 520 8 times with a remainder of 32.
Put 8 as the next digit of the answer. 
Result so far: 98.0
Deduct 488 from 520 and we're left with 32.
Append the next digit (2) from the dividend to 32 and continue with: 322 / 61

Step 5:
322 divided by 61 is 5 with a remainder of 17.
Record the quotient 5 as the next digit in the result. 
Result so far: 985.0
Subtracting 305 from 322 leaves us with 17.
Fetch the next digit (3) from the dividend, attach it to 17 and continue: 173 / 61

Let's proceed to step 6:
61 goes into 173 2 times with a remainder of 51.
Put 2 as the next digit of the answer. 
Result so far: 9852.0
Subtracting 122 from 173 leaves us 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 7:
The number 61 fits into 510 8 times, leaving a remainder of 22.
The next digit of our result is 8. 
Result so far: 9852.8
Deduct 488 from 510 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 8:
When dividing 220 by 61, we get 3 with a remainder of 37.
The next digit of our result is 3. 
Result so far: 9852.83
Subtracting 183 from 220 leaves us with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 9:
The number 61 fits into 370 6 times, leaving a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 9852.836
Subtracting 366 from 370 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 10:
If we divide 40 by 61, we get 0 and a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 9852.836
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 11:
The number 61 fits into 400 6 times, leaving a remainder of 34.
Put 6 as the next digit of the answer. 
Result so far: 9852.83606
Deduct 366 from 400 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 12:
340 divided by 61 is 5 with a remainder of 35.
The next digit of our result is 5. 
Result so far: 9852.836065
Deduct 305 from 340 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 13:
350 divided by 61 is 5 with a remainder of 45.
The number 5 becomes the next digit in our result. 
Result so far: 9852.8360655
If we subtract 305 from 350, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

In conclusion, the division gives 9852.8360655 with a balance of 4.5e-07.