4682 divided by 46 
Let's see how many times 46 fits into 4682.

Step 1:
The number 46 fits into 4 0 times, leaving a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 46

Going ahead to step 2:
46 can be fit into 46 1 times, resulting in a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 46 from 46 leaves us with 0.
Fetch the next digit (8) from the dividend, attach it to 0 and continue: 8 / 46

Step 3:
46 goes into 8 0 times with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we take 0 away from 8, we end up with 8.
Bring next digit (2) of the dividend behind the 8 and repeat the process: 82 / 46

Step 4:
If we divide 82 by 46, we get 1 and a remainder of 36.
The next digit of our result is 1. 
Result so far: 101.0
Subtracting 46 from 82 leaves us with 36.
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 5:
46 goes into 360 7 times with a remainder of 38.
Write down 7 as next digit of the result. 
Result so far: 101.7
If we take 322 away from 360, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 6:
When dividing 380 by 46, we get 8 with a remainder of 12.
The next digit of our result is 8. 
Result so far: 101.78
Deduct 368 from 380 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 7:
46 can be fit into 120 2 times, resulting in a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 101.782
The remainder is 28 after subtracting 92 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 8:
280 divided by 46 is 6 with a remainder of 4.
The next digit of our result is 6. 
Result so far: 101.7826
Subtracting 276 from 280 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.

Let's proceed to step 9:
46 goes into 40 0 times with a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 101.7826
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 10:
If we divide 400 by 46, we get 8 and a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 101.782608
Subtracting 368 from 400 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 11:
46 goes into 320 6 times with a remainder of 44.
Record the quotient 6 as the next digit in the result. 
Result so far: 101.7826086
If we take 276 away from 320, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 12:
440 divided by 46 is 9 with a remainder of 26.
The number 9 becomes the next digit in our result. 
Result so far: 101.78260869
Deduct 414 from 440 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Our division results in 101.78260869 with a remaining 2.6e-08.