114516 ÷ 94 
We're looking to find how many times 94 goes into 114516.

Step 1:
94 can be fit into 1 0 times, resulting in a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 94

Advancing to step 2:
When dividing 11 by 94, we get 0 with a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 11 leaves us with 11.
Append the next digit (4) from the dividend to 11 and continue with: 114 / 94

On to step 3:
If we divide 114 by 94, we get 1 and a remainder of 20.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 94 from 114 and we're left with 20.
Grab the next digit (5) from the dividend, add it to 20, then carry on: 205 / 94

Advancing to step 4:
If we divide 205 by 94, we get 2 and a remainder of 17.
Write down 2 as next digit of the result. 
Result so far: 12.0
Subtract 188 from 205 to get 17.
Grab the next digit (1) from the dividend, add it to 17, then carry on: 171 / 94

Going ahead to step 5:
When dividing 171 by 94, we get 1 with a remainder of 77.
Write down 1 as next digit of the result. 
Result so far: 121.0
Subtract 94 from 171 to get 77.
Grab the next digit (6) from the dividend, add it to 77, then carry on: 776 / 94

Going ahead to step 6:
If we divide 776 by 94, we get 8 and a remainder of 24.
Use 8 as the next digit of our solution. 
Result so far: 1218.0
If we subtract 752 from 776, 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.

Moving on to step 7:
If we divide 240 by 94, we get 2 and a remainder of 52.
Put 2 as the next digit of the answer. 
Result so far: 1218.2
If we take 188 away from 240, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 8:
94 goes into 520 5 times with a remainder of 50.
Use 5 as the next digit of our solution. 
Result so far: 1218.25
Deduct 470 from 520 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 9:
94 goes into 500 5 times with a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 1218.255
Subtract 470 from 500 to 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.

Our division results in 1218.255 with a remaining 0.003.