13642 divided by 46 
We're looking to find how many times 46 goes into 13642.

Moving on to step 1:
46 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.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 46

Moving on to step 2:
46 can be fit into 13 0 times, resulting in a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 13 to get 13.
Fetch the next digit (6) from the dividend, attach it to 13 and continue: 136 / 46

Going ahead to step 3:
46 can be fit into 136 2 times, resulting in a remainder of 44.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we take 92 away from 136, we end up with 44.
Grab the next digit (4) from the dividend, add it to 44, then carry on: 444 / 46

Moving on to step 4:
444 divided by 46 is 9 with a remainder of 30.
The number 9 becomes the next digit in our result. 
Result so far: 29.0
If we subtract 414 from 444, we get 30.
Grab the next digit (2) from the dividend, add it to 30, then carry on: 302 / 46

Let's proceed to step 5:
302 divided by 46 is 6 with a remainder of 26.
Record the quotient 6 as the next digit in the result. 
Result so far: 296.0
The remainder is 26 after subtracting 276 from 302.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 6:
46 can be fit into 260 5 times, resulting in a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 296.5
If we take 230 away from 260, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 7:
If we divide 300 by 46, we get 6 and a remainder of 24.
The next digit of our result is 6. 
Result so far: 296.56
Deduct 276 from 300 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 8:
The number 46 fits into 240 5 times, leaving a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 296.565
Subtracting 230 from 240 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 9:
If we divide 100 by 46, we get 2 and a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 296.5652
Subtracting 92 from 100 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 10:
When dividing 80 by 46, we get 1 with a remainder of 34.
Record the quotient 1 as the next digit in the result. 
Result so far: 296.56521
The remainder is 34 after subtracting 46 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 11:
46 goes into 340 7 times with a remainder of 18.
The next digit of our result is 7. 
Result so far: 296.565217
If we take 322 away from 340, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 12:
If we divide 180 by 46, we get 3 and a remainder of 42.
Use 3 as the next digit of our solution. 
Result so far: 296.5652173
If we subtract 138 from 180, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 13:
If we divide 420 by 46, we get 9 and a remainder of 6.
Put 9 as the next digit of the answer. 
Result so far: 296.56521739
Subtract 414 from 420 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

After the division, we end up with 296.56521739 and a remainder of 6e-09.