Let's divide 598965 by 61
We want to figure out the number of times 598965 can be divided by 61.

On to step 1:
The number 61 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 61

Let's proceed to step 2:
61 can be fit into 59 0 times, resulting in a remainder of 59.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 59 leaves us with 59.
Append the next digit (8) from the dividend to 59 and continue with: 598 / 61

On to step 3:
If we divide 598 by 61, we get 9 and a remainder of 49.
Put 9 as the next digit of the answer. 
Result so far: 9.0
If we subtract 549 from 598, we get 49.
Append the next digit (9) from the dividend to 49 and continue with: 499 / 61

Let's proceed to step 4:
499 divided by 61 is 8 with a remainder of 11.
The number 8 becomes the next digit in our result. 
Result so far: 98.0
Subtract 488 from 499 to get 11.
Include the next digit (6) from the dividend after 11, then repeat: 116 / 61

Step 5:
61 can be fit into 116 1 times, resulting in a remainder of 55.
Use 1 as the next digit of our solution. 
Result so far: 981.0
If we subtract 61 from 116, we get 55.
Take the next digit (5) from the dividend and append it to 55, then repeat: 555 / 61

Going ahead to step 6:
555 divided by 61 is 9 with a remainder of 6.
Put 9 as the next digit of the answer. 
Result so far: 9819.0
If we take 549 away from 555, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 7:
61 goes into 60 0 times with a remainder of 60.
Use 0 as the next digit of our solution. 
Result so far: 9819.0
Deduct 0 from 60 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 8:
If we divide 600 by 61, we get 9 and a remainder of 51.
Put 9 as the next digit of the answer. 
Result so far: 9819.09
If we subtract 549 from 600, we get 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 9:
61 goes into 510 8 times with a remainder of 22.
Use 8 as the next digit of our solution. 
Result so far: 9819.098
The remainder is 22 after subtracting 488 from 510.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 10:
220 divided by 61 is 3 with a remainder of 37.
Put 3 as the next digit of the answer. 
Result so far: 9819.0983
Subtract 183 from 220 to 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.

Going ahead to step 11:
370 divided by 61 is 6 with a remainder of 4.
The next digit of our result is 6. 
Result so far: 9819.09836
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.

Step 12:
40 divided by 61 is 0 with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 9819.09836
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 13:
The number 61 fits into 400 6 times, leaving a remainder of 34.
Use 6 as the next digit of our solution. 
Result so far: 9819.0983606
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.

Let's proceed to step 14:
340 divided by 61 is 5 with a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 9819.09836065
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.

The quotient of the division is 9819.09836065, and the remainder is 3.5e-08.