66106 ÷ 61 
Our goal is to divide 66106 by 61.

Let's proceed to step 1:
61 goes into 6 0 times with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 61

Advancing to step 2:
61 can be fit into 66 1 times, resulting in a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 5 after subtracting 61 from 66.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 61

Step 3:
61 can be fit into 51 0 times, resulting in a remainder of 51.
Write down 0 as next digit of the result. 
Result so far: 10.0
The remainder is 51 after subtracting 0 from 51.
Append the next digit (0) from the dividend to 51 and continue with: 510 / 61

Advancing to step 4:
If we divide 510 by 61, we get 8 and a remainder of 22.
Use 8 as the next digit of our solution. 
Result so far: 108.0
Subtracting 488 from 510 leaves us with 22.
Bring next digit (6) of the dividend behind the 22 and repeat the process: 226 / 61

Moving on to step 5:
If we divide 226 by 61, we get 3 and a remainder of 43.
Record the quotient 3 as the next digit in the result. 
Result so far: 1083.0
Deduct 183 from 226 and we're left with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Going ahead to step 6:
61 can be fit into 430 7 times, resulting in a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 1083.7
Subtract 427 from 430 to 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.

Step 7:
30 divided by 61 is 0 with a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 1083.7
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.

Going ahead to step 8:
300 divided by 61 is 4 with a remainder of 56.
Use 4 as the next digit of our solution. 
Result so far: 1083.704
Deduct 244 from 300 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Advancing to step 9:
560 divided by 61 is 9 with a remainder of 11.
Put 9 as the next digit of the answer. 
Result so far: 1083.7049
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.
The number 1 becomes the next digit in our result. 
Result so far: 1083.70491
The remainder is 49 after subtracting 61 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

On to step 11:
490 divided by 61 is 8 with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 1083.704918
If we subtract 488 from 490, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 12:
If we divide 20 by 61, we get 0 and a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 1083.704918
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 13:
200 divided by 61 is 3 with a remainder of 17.
Write down 3 as next digit of the result. 
Result so far: 1083.70491803
If we take 183 away from 200, we end up 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.

The final result is 1083.70491803 with a remainder of 1.7e-08.