642142 divided by 46 
We're looking to find how many times 46 goes into 642142.

Advancing to step 1:
If we divide 6 by 46, we get 0 and a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 46

Going ahead to step 2:
64 divided by 46 is 1 with a remainder of 18.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 46 from 64 to get 18.
Include the next digit (2) from the dividend after 18, then repeat: 182 / 46

On to step 3:
If we divide 182 by 46, we get 3 and a remainder of 44.
The next digit of our result is 3. 
Result so far: 13.0
Deduct 138 from 182 and we're left with 44.
Fetch the next digit (1) from the dividend, attach it to 44 and continue: 441 / 46

Advancing to step 4:
When dividing 441 by 46, we get 9 with a remainder of 27.
The number 9 becomes the next digit in our result. 
Result so far: 139.0
The remainder is 27 after subtracting 414 from 441.
Grab the next digit (4) from the dividend, add it to 27, then carry on: 274 / 46

Moving on to step 5:
46 can be fit into 274 5 times, resulting in a remainder of 44.
Write down 5 as next digit of the result. 
Result so far: 1395.0
Subtracting 230 from 274 leaves us with 44.
Grab the next digit (2) from the dividend, add it to 44, then carry on: 442 / 46

Advancing to step 6:
When dividing 442 by 46, we get 9 with a remainder of 28.
Write down 9 as next digit of the result. 
Result so far: 13959.0
Subtract 414 from 442 to 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 7:
If we divide 280 by 46, we get 6 and a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 13959.6
Subtract 276 from 280 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 46, we get 0 with a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 13959.6
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 9:
46 can be fit into 400 8 times, resulting in a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 13959.608
If we subtract 368 from 400, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 10:
46 goes into 320 6 times with a remainder of 44.
The next digit of our result is 6. 
Result so far: 13959.6086
Deduct 276 from 320 and we're left 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.

Going ahead to step 11:
The number 46 fits into 440 9 times, leaving a remainder of 26.
Put 9 as the next digit of the answer. 
Result so far: 13959.60869
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.

On to step 12:
When dividing 260 by 46, we get 5 with a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 13959.608695
The remainder is 30 after subtracting 230 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 13:
300 divided by 46 is 6 with a remainder of 24.
Put 6 as the next digit of the answer. 
Result so far: 13959.6086956
Subtracting 276 from 300 leaves us 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.

Moving on to step 14:
If we divide 240 by 46, we get 5 and a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 13959.60869565
If we subtract 230 from 240, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 13959.60869565 with a balance of 1e-08.