We divide 601766 by 61
We're looking to find how many times 61 goes into 601766.

Step 1:
The number 61 fits into 6 0 times, leaving a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Fetch the next digit (0) from the dividend, attach it to 6 and continue: 60 / 61

Moving on to step 2:
If we divide 60 by 61, we get 0 and a remainder of 60.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 60 to get 60.
Grab the next digit (1) from the dividend, add it to 60, then carry on: 601 / 61

Let's proceed to step 3:
61 goes into 601 9 times with a remainder of 52.
The next digit of our result is 9. 
Result so far: 9.0
If we take 549 away from 601, we end up with 52.
Fetch the next digit (7) from the dividend, attach it to 52 and continue: 527 / 61

On to step 4:
61 goes into 527 8 times with a remainder of 39.
Record the quotient 8 as the next digit in the result. 
Result so far: 98.0
If we take 488 away from 527, we end up with 39.
Grab the next digit (6) from the dividend, add it to 39, then carry on: 396 / 61

Step 5:
When dividing 396 by 61, we get 6 with a remainder of 30.
The number 6 becomes the next digit in our result. 
Result so far: 986.0
Subtracting 366 from 396 leaves us with 30.
Bring next digit (6) of the dividend behind the 30 and repeat the process: 306 / 61

Step 6:
The number 61 fits into 306 5 times, leaving a remainder of 1.
The next digit of our result is 5. 
Result so far: 9865.0
Deduct 305 from 306 and we're left 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.

Going ahead to step 7:
61 goes into 10 0 times with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 9865.0
If we subtract 0 from 10, we 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.

Let's proceed to step 8:
The number 61 fits into 100 1 times, leaving a remainder of 39.
Put 1 as the next digit of the answer. 
Result so far: 9865.01
Deduct 61 from 100 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Advancing to step 9:
61 goes into 390 6 times with a remainder of 24.
The next digit of our result is 6. 
Result so far: 9865.016
Subtract 366 from 390 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 10:
61 can be fit into 240 3 times, resulting in a remainder of 57.
Record the quotient 3 as the next digit in the result. 
Result so far: 9865.0163
If we take 183 away from 240, we end up with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

On to step 11:
When dividing 570 by 61, we get 9 with a remainder of 21.
The next digit of our result is 9. 
Result so far: 9865.01639
The remainder is 21 after subtracting 549 from 570.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 12:
61 can be fit into 210 3 times, resulting in a remainder of 27.
Use 3 as the next digit of our solution. 
Result so far: 9865.016393
Subtracting 183 from 210 leaves us with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 13:
61 goes into 270 4 times with a remainder of 26.
The number 4 becomes the next digit in our result. 
Result so far: 9865.0163934
Subtracting 244 from 270 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 14:
260 divided by 61 is 4 with a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 9865.01639344
Deduct 244 from 260 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

In conclusion, the division gives 9865.01639344 with a balance of 1.6e-08.