11138 divided by 61 
We're looking to find how many times 61 goes into 11138.

Moving on to step 1:
61 goes into 1 0 times with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 61

Step 2:
61 goes into 11 0 times with a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 11, we get 11.
Take the next digit (1) from the dividend and append it to 11, then repeat: 111 / 61

Advancing to step 3:
61 can be fit into 111 1 times, resulting in a remainder of 50.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 61 from 111 to get 50.
Append the next digit (3) from the dividend to 50 and continue with: 503 / 61

Moving on to step 4:
61 can be fit into 503 8 times, resulting in a remainder of 15.
Put 8 as the next digit of the answer. 
Result so far: 18.0
Deduct 488 from 503 and we're left with 15.
Include the next digit (8) from the dividend after 15, then repeat: 158 / 61

Step 5:
When dividing 158 by 61, we get 2 with a remainder of 36.
Use 2 as the next digit of our solution. 
Result so far: 182.0
The remainder is 36 after subtracting 122 from 158.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 6:
360 divided by 61 is 5 with a remainder of 55.
Write down 5 as next digit of the result. 
Result so far: 182.5
Subtracting 305 from 360 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 7:
61 goes into 550 9 times with a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 182.59
If we take 549 away from 550, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 8:
61 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 182.59
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 9:
100 divided by 61 is 1 with a remainder of 39.
Record the quotient 1 as the next digit in the result. 
Result so far: 182.5901
Subtracting 61 from 100 leaves us with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Step 10:
If we divide 390 by 61, we get 6 and a remainder of 24.
The next digit of our result is 6. 
Result so far: 182.59016
If we subtract 366 from 390, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 11:
The number 61 fits into 240 3 times, leaving a remainder of 57.
Write down 3 as next digit of the result. 
Result so far: 182.590163
If we take 183 away from 240, we end up with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Moving on to step 12:
When dividing 570 by 61, we get 9 with a remainder of 21.
Put 9 as the next digit of the answer. 
Result so far: 182.5901639
Subtracting 549 from 570 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 13:
When dividing 210 by 61, we get 3 with a remainder of 27.
The next digit of our result is 3. 
Result so far: 182.59016393
Subtract 183 from 210 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

The quotient of the division is 182.59016393, and the remainder is 2.7e-08.