We divide 300257 by 61
We want to figure out the number of times 300257 can be divided by 61.

Step 1:
3 divided by 61 is 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Append the next digit (0) from the dividend to 3 and continue with: 30 / 61

Let's proceed to step 2:
If we divide 30 by 61, we get 0 and a remainder of 30.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 30 to get 30.
Include the next digit (0) from the dividend after 30, then repeat: 300 / 61

Advancing to step 3:
The number 61 fits into 300 4 times, leaving a remainder of 56.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we take 244 away from 300, we end up with 56.
Include the next digit (2) from the dividend after 56, then repeat: 562 / 61

Let's proceed to step 4:
If we divide 562 by 61, we get 9 and a remainder of 13.
Write down 9 as next digit of the result. 
Result so far: 49.0
If we take 549 away from 562, we end up with 13.
Include the next digit (5) from the dividend after 13, then repeat: 135 / 61

Step 5:
If we divide 135 by 61, we get 2 and a remainder of 13.
Put 2 as the next digit of the answer. 
Result so far: 492.0
If we subtract 122 from 135, we get 13.
Take the next digit (7) from the dividend and append it to 13, then repeat: 137 / 61

Moving on to step 6:
The number 61 fits into 137 2 times, leaving a remainder of 15.
Record the quotient 2 as the next digit in the result. 
Result so far: 4922.0
Subtracting 122 from 137 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 7:
150 divided by 61 is 2 with a remainder of 28.
The number 2 becomes the next digit in our result. 
Result so far: 4922.2
If we take 122 away from 150, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 8:
280 divided by 61 is 4 with a remainder of 36.
The next digit of our result is 4. 
Result so far: 4922.24
The remainder is 36 after subtracting 244 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 9:
61 can be fit into 360 5 times, resulting in a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 4922.245
The remainder is 55 after subtracting 305 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 10:
The number 61 fits into 550 9 times, leaving a remainder of 1.
The next digit of our result is 9. 
Result so far: 4922.2459
The remainder is 1 after subtracting 549 from 550.
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 11:
61 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 4922.2459
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 12:
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: 4922.245901
Subtracting 61 from 100 leaves us 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.

Going ahead to step 13:
61 goes into 390 6 times with a remainder of 24.
Put 6 as the next digit of the answer. 
Result so far: 4922.2459016
If we take 366 away from 390, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 14:
61 goes into 240 3 times with a remainder of 57.
Record the quotient 3 as the next digit in the result. 
Result so far: 4922.24590163
The remainder is 57 after subtracting 183 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

In conclusion, the division gives 4922.24590163 with a balance of 5.7e-08.