We look at the division of 359966 by 61 
Let's see how many times 61 fits into 359966.

On to 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
Subtract 0 from 3 to get 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 61

Step 2:
61 goes into 35 0 times with a remainder of 35.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 35 after subtracting 0 from 35.
Bring next digit (9) of the dividend behind the 35 and repeat the process: 359 / 61

Moving on to step 3:
The number 61 fits into 359 5 times, leaving a remainder of 54.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we take 305 away from 359, we end up with 54.
Append the next digit (9) from the dividend to 54 and continue with: 549 / 61

Advancing to step 4:
When dividing 549 by 61, we get 9 with a remainder of 0.
The number 9 becomes the next digit in our result. 
Result so far: 59.0
Subtract 549 from 549 to get 0.
Fetch the next digit (6) from the dividend, attach it to 0 and continue: 6 / 61

On to step 5:
61 goes into 6 0 times with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 590.0
The remainder is 6 after subtracting 0 from 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 61

Going ahead to step 6:
When dividing 66 by 61, we get 1 with a remainder of 5.
Write down 1 as next digit of the result. 
Result so far: 5901.0
The remainder is 5 after subtracting 61 from 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 7:
The number 61 fits into 50 0 times, leaving a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 5901.0
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 8:
If we divide 500 by 61, we get 8 and a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 5901.08
Subtract 488 from 500 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 9:
61 goes into 120 1 times with a remainder of 59.
Put 1 as the next digit of the answer. 
Result so far: 5901.081
Deduct 61 from 120 and we're left with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Let's proceed to step 10:
61 can be fit into 590 9 times, resulting in a remainder of 41.
Record the quotient 9 as the next digit in the result. 
Result so far: 5901.0819
The remainder is 41 after subtracting 549 from 590.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Advancing to step 11:
If we divide 410 by 61, we get 6 and a remainder of 44.
Write down 6 as next digit of the result. 
Result so far: 5901.08196
If we take 366 away from 410, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 12:
61 can be fit into 440 7 times, resulting in a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 5901.081967
The remainder is 13 after subtracting 427 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 13:
The number 61 fits into 130 2 times, leaving a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 5901.0819672
If we subtract 122 from 130, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 14:
The number 61 fits into 80 1 times, leaving a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 5901.08196721
Subtract 61 from 80 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Our division results in 5901.08196721 with a remaining 1.9e-08.