13682 divided by 46 
We're looking to find how many times 46 goes into 13682.

Let's proceed to step 1:
46 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 46

Advancing to step 2:
13 divided by 46 is 0 with a remainder of 13.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 13 to get 13.
Take the next digit (6) from the dividend and append it to 13, then repeat: 136 / 46

Let's proceed to step 3:
136 divided by 46 is 2 with a remainder of 44.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Deduct 92 from 136 and we're left with 44.
Grab the next digit (8) from the dividend, add it to 44, then carry on: 448 / 46

Advancing to step 4:
The number 46 fits into 448 9 times, leaving a remainder of 34.
Use 9 as the next digit of our solution. 
Result so far: 29.0
The remainder is 34 after subtracting 414 from 448.
Include the next digit (2) from the dividend after 34, then repeat: 342 / 46

Moving on to step 5:
The number 46 fits into 342 7 times, leaving a remainder of 20.
Put 7 as the next digit of the answer. 
Result so far: 297.0
Deduct 322 from 342 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 6:
When dividing 200 by 46, we get 4 with a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 297.4
Deduct 184 from 200 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 7:
160 divided by 46 is 3 with a remainder of 22.
Write down 3 as next digit of the result. 
Result so far: 297.43
Subtracting 138 from 160 leaves us 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.

Going ahead to step 8:
If we divide 220 by 46, we get 4 and a remainder of 36.
Write down 4 as next digit of the result. 
Result so far: 297.434
The remainder is 36 after subtracting 184 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 9:
46 can be fit into 360 7 times, resulting in a remainder of 38.
The next digit of our result is 7. 
Result so far: 297.4347
If we subtract 322 from 360, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 10:
The number 46 fits into 380 8 times, leaving a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 297.43478
Subtract 368 from 380 to get 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 11:
When dividing 120 by 46, we get 2 with a remainder of 28.
The next digit of our result is 2. 
Result so far: 297.434782
If we subtract 92 from 120, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 12:
46 goes into 280 6 times with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 297.4347826
The remainder is 4 after subtracting 276 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 13:
When dividing 40 by 46, we get 0 with a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 297.4347826
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The final outcome is 297.4347826, with a leftover of 4e-08.