642314 divided by 41 
We want to figure out the number of times 642314 can be divided by 41.

On to step 1:
When dividing 6 by 41, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 41

Going ahead to step 2:
64 divided by 41 is 1 with a remainder of 23.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 41 away from 64, we end up with 23.
Grab the next digit (2) from the dividend, add it to 23, then carry on: 232 / 41

Advancing to step 3:
When dividing 232 by 41, we get 5 with a remainder of 27.
Use 5 as the next digit of our solution. 
Result so far: 15.0
The remainder is 27 after subtracting 205 from 232.
Include the next digit (3) from the dividend after 27, then repeat: 273 / 41

Let's proceed to step 4:
41 goes into 273 6 times with a remainder of 27.
Write down 6 as next digit of the result. 
Result so far: 156.0
If we take 246 away from 273, we end up with 27.
Bring next digit (1) of the dividend behind the 27 and repeat the process: 271 / 41

On to step 5:
41 can be fit into 271 6 times, resulting in a remainder of 25.
Put 6 as the next digit of the answer. 
Result so far: 1566.0
If we subtract 246 from 271, we get 25.
Include the next digit (4) from the dividend after 25, then repeat: 254 / 41

Let's proceed to step 6:
41 can be fit into 254 6 times, resulting in a remainder of 8.
The next digit of our result is 6. 
Result so far: 15666.0
Subtracting 246 from 254 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.

Going ahead to step 7:
If we divide 80 by 41, we get 1 and a remainder of 39.
The number 1 becomes the next digit in our result. 
Result so far: 15666.1
Deduct 41 from 80 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Going ahead to step 8:
390 divided by 41 is 9 with a remainder of 21.
The next digit of our result is 9. 
Result so far: 15666.19
Deduct 369 from 390 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Going ahead to step 9:
41 can be fit into 210 5 times, resulting in a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 15666.195
If we subtract 205 from 210, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 10:
When dividing 50 by 41, we get 1 with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 15666.1951
Subtract 41 from 50 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 11:
The number 41 fits into 90 2 times, leaving a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 15666.19512
Subtracting 82 from 90 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.

Going ahead to step 12:
41 goes into 80 1 times with a remainder of 39.
Record the quotient 1 as the next digit in the result. 
Result so far: 15666.195121
The remainder is 39 after subtracting 41 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Advancing to step 13:
When dividing 390 by 41, we get 9 with a remainder of 21.
Put 9 as the next digit of the answer. 
Result so far: 15666.1951219
The remainder is 21 after subtracting 369 from 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 14:
41 can be fit into 210 5 times, resulting in a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 15666.19512195
If we take 205 away from 210, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

After the division, we end up with 15666.19512195 and a remainder of 5e-09.