642767 divided by 41 
Our goal is to divide 642767 by 41.

Advancing to step 1:
The number 41 fits into 6 0 times, leaving a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Take the next digit (4) from the dividend and append it to 6, then repeat: 64 / 41

Moving on to step 2:
When dividing 64 by 41, we get 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

On to step 3:
41 can be fit into 232 5 times, resulting in a remainder of 27.
Put 5 as the next digit of the answer. 
Result so far: 15.0
Deduct 205 from 232 and we're left with 27.
Append the next digit (7) from the dividend to 27 and continue with: 277 / 41

Going ahead to step 4:
277 divided by 41 is 6 with a remainder of 31.
Put 6 as the next digit of the answer. 
Result so far: 156.0
Subtract 246 from 277 to get 31.
Take the next digit (6) from the dividend and append it to 31, then repeat: 316 / 41

Moving on to step 5:
If we divide 316 by 41, we get 7 and a remainder of 29.
Record the quotient 7 as the next digit in the result. 
Result so far: 1567.0
If we subtract 287 from 316, we get 29.
Append the next digit (7) from the dividend to 29 and continue with: 297 / 41

On to step 6:
When dividing 297 by 41, we get 7 with a remainder of 10.
Use 7 as the next digit of our solution. 
Result so far: 15677.0
If we subtract 287 from 297, 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.

Let's proceed to step 7:
41 goes into 100 2 times with a remainder of 18.
The next digit of our result is 2. 
Result so far: 15677.2
Subtracting 82 from 100 leaves us 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.

Moving on to step 8:
The number 41 fits into 180 4 times, leaving a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 15677.24
Subtracting 164 from 180 leaves us 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.

Advancing to step 9:
41 goes into 160 3 times with a remainder of 37.
Put 3 as the next digit of the answer. 
Result so far: 15677.243
If we take 123 away from 160, we end up with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Going ahead to step 10:
41 goes into 370 9 times with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 15677.2439
If we subtract 369 from 370, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 11:
41 can be fit into 10 0 times, resulting in a remainder of 10.
The next digit of our result is 0. 
Result so far: 15677.2439
Subtracting 0 from 10 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.

Advancing to step 12:
41 can be fit into 100 2 times, resulting in a remainder of 18.
Write down 2 as next digit of the result. 
Result so far: 15677.243902
If we take 82 away from 100, 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.

On to step 13:
41 can be fit into 180 4 times, resulting in a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 15677.2439024
If we subtract 164 from 180, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 14:
When dividing 160 by 41, we get 3 with a remainder of 37.
Record the quotient 3 as the next digit in the result. 
Result so far: 15677.24390243
Deduct 123 from 160 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

The final outcome is 15677.24390243, with a leftover of 3.7e-08.