We're dividing 61516 by 11 
We're looking to find how many times 11 goes into 61516.

Step 1:
6 divided by 11 is 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Append the next digit (1) from the dividend to 6 and continue with: 61 / 11

Advancing to step 2:
If we divide 61 by 11, we get 5 and a remainder of 6.
Use 5 as the next digit of our solution. 
Result so far: 5.0
The remainder is 6 after subtracting 55 from 61.
Append the next digit (5) from the dividend to 6 and continue with: 65 / 11

On to step 3:
65 divided by 11 is 5 with a remainder of 10.
The next digit of our result is 5. 
Result so far: 55.0
Subtract 55 from 65 to get 10.
Include the next digit (1) from the dividend after 10, then repeat: 101 / 11

Moving on to step 4:
If we divide 101 by 11, we get 9 and a remainder of 2.
Use 9 as the next digit of our solution. 
Result so far: 559.0
Deduct 99 from 101 and we're left with 2.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 11

Moving on to step 5:
The number 11 fits into 26 2 times, leaving a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 5592.0
Subtracting 22 from 26 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 6:
40 divided by 11 is 3 with a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 5592.3
Deduct 33 from 40 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 7:
70 divided by 11 is 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 5592.36
Subtract 66 from 70 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 8:
When dividing 40 by 11, we get 3 with a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 5592.363
If we subtract 33 from 40, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 9:
11 goes into 70 6 times with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 5592.3636
If we take 66 away from 70, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 10:
11 goes into 40 3 times with a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 5592.36363
Deduct 33 from 40 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 11:
The number 11 fits into 70 6 times, leaving a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 5592.363636
Subtracting 66 from 70 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 12:
When dividing 40 by 11, we get 3 with a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 5592.3636363
Deduct 33 from 40 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 13:
The number 11 fits into 70 6 times, leaving a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 5592.36363636
If we subtract 66 from 70, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final outcome is 5592.36363636, with a leftover of 4e-09.