We're dividing 665635 by 61 
We want to divide 665635 by 61.

Step 1:
If we divide 6 by 61, we get 0 and a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 61

Moving on to step 2:
The number 61 fits into 66 1 times, leaving a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 61 from 66 and we're left with 5.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 61

On to step 3:
When dividing 55 by 61, we get 0 with a remainder of 55.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Subtract 0 from 55 to get 55.
Append the next digit (6) from the dividend to 55 and continue with: 556 / 61

Step 4:
61 goes into 556 9 times with a remainder of 7.
The number 9 becomes the next digit in our result. 
Result so far: 109.0
Subtract 549 from 556 to get 7.
Bring next digit (3) of the dividend behind the 7 and repeat the process: 73 / 61

Advancing to step 5:
If we divide 73 by 61, we get 1 and a remainder of 12.
Put 1 as the next digit of the answer. 
Result so far: 1091.0
Subtracting 61 from 73 leaves us with 12.
Take the next digit (5) from the dividend and append it to 12, then repeat: 125 / 61

Let's proceed to step 6:
61 goes into 125 2 times with a remainder of 3.
The next digit of our result is 2. 
Result so far: 10912.0
If we subtract 122 from 125, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 7:
61 goes into 30 0 times with a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 10912.0
If we subtract 0 from 30, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 8:
The number 61 fits into 300 4 times, leaving a remainder of 56.
Put 4 as the next digit of the answer. 
Result so far: 10912.04
If we subtract 244 from 300, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 9:
61 goes into 560 9 times with a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 10912.049
Deduct 549 from 560 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 10:
When dividing 110 by 61, we get 1 with a remainder of 49.
Record the quotient 1 as the next digit in the result. 
Result so far: 10912.0491
Deduct 61 from 110 and we're left with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Moving on to step 11:
490 divided by 61 is 8 with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 10912.04918
The remainder is 2 after subtracting 488 from 490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 12:
61 can be fit into 20 0 times, resulting in a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 10912.04918
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 13:
When dividing 200 by 61, we get 3 with a remainder of 17.
Put 3 as the next digit of the answer. 
Result so far: 10912.0491803
Deduct 183 from 200 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 14:
61 can be fit into 170 2 times, resulting in a remainder of 48.
Use 2 as the next digit of our solution. 
Result so far: 10912.04918032
Subtracting 122 from 170 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

After the division, we end up with 10912.04918032 and a remainder of 4.8e-08.