We divide 105661 by 61
Let's see how many times 61 fits into 105661.

Going ahead to step 1:
If we divide 1 by 61, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 61

Step 2:
If we divide 10 by 61, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Fetch the next digit (5) from the dividend, attach it to 10 and continue: 105 / 61

Let's proceed to step 3:
61 can be fit into 105 1 times, resulting in a remainder of 44.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 44 after subtracting 61 from 105.
Append the next digit (6) from the dividend to 44 and continue with: 446 / 61

On to step 4:
The number 61 fits into 446 7 times, leaving a remainder of 19.
Write down 7 as next digit of the result. 
Result so far: 17.0
The remainder is 19 after subtracting 427 from 446.
Fetch the next digit (6) from the dividend, attach it to 19 and continue: 196 / 61

Let's proceed to step 5:
61 can be fit into 196 3 times, resulting in a remainder of 13.
Put 3 as the next digit of the answer. 
Result so far: 173.0
Deduct 183 from 196 and we're left with 13.
Include the next digit (1) from the dividend after 13, then repeat: 131 / 61

Step 6:
131 divided by 61 is 2 with a remainder of 9.
The number 2 becomes the next digit in our result. 
Result so far: 1732.0
If we take 122 away from 131, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 7:
If we divide 90 by 61, we get 1 and a remainder of 29.
Put 1 as the next digit of the answer. 
Result so far: 1732.1
If we take 61 away from 90, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Going ahead to step 8:
When dividing 290 by 61, we get 4 with a remainder of 46.
Write down 4 as next digit of the result. 
Result so far: 1732.14
If we subtract 244 from 290, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 9:
61 goes into 460 7 times with a remainder of 33.
Write down 7 as next digit of the result. 
Result so far: 1732.147
If we subtract 427 from 460, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 10:
330 divided by 61 is 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 1732.1475
If we subtract 305 from 330, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 11:
61 can be fit into 250 4 times, resulting in a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 1732.14754
The remainder is 6 after subtracting 244 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 12:
The number 61 fits into 60 0 times, leaving a remainder of 60.
Write down 0 as next digit of the result. 
Result so far: 1732.14754
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 13:
600 divided by 61 is 9 with a remainder of 51.
Write down 9 as next digit of the result. 
Result so far: 1732.1475409
Subtract 549 from 600 to 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.

Let's proceed to step 14:
61 goes into 510 8 times with a remainder of 22.
Put 8 as the next digit of the answer. 
Result so far: 1732.14754098
If we take 488 away from 510, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

After the division, we end up with 1732.14754098 and a remainder of 2.2e-08.