642921 divided by 95 
Our goal is to divide 642921 by 95.

On to step 1:
6 divided by 95 is 0 with 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 / 95

Advancing to step 2:
When dividing 64 by 95, we get 0 with a remainder of 64.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 64 and we're left with 64.
Bring next digit (2) of the dividend behind the 64 and repeat the process: 642 / 95

Advancing to step 3:
If we divide 642 by 95, we get 6 and a remainder of 72.
The next digit of our result is 6. 
Result so far: 6.0
The remainder is 72 after subtracting 570 from 642.
Include the next digit (9) from the dividend after 72, then repeat: 729 / 95

Advancing to step 4:
95 can be fit into 729 7 times, resulting in a remainder of 64.
The number 7 becomes the next digit in our result. 
Result so far: 67.0
If we subtract 665 from 729, we get 64.
Bring next digit (2) of the dividend behind the 64 and repeat the process: 642 / 95

Let's proceed to step 5:
95 goes into 642 6 times with a remainder of 72.
Use 6 as the next digit of our solution. 
Result so far: 676.0
Subtracting 570 from 642 leaves us with 72.
Append the next digit (1) from the dividend to 72 and continue with: 721 / 95

Going ahead to step 6:
The number 95 fits into 721 7 times, leaving a remainder of 56.
Put 7 as the next digit of the answer. 
Result so far: 6767.0
Subtracting 665 from 721 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 7:
95 goes into 560 5 times with a remainder of 85.
Write down 5 as next digit of the result. 
Result so far: 6767.5
If we take 475 away from 560, we end up with 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

Let's proceed to step 8:
850 divided by 95 is 8 with a remainder of 90.
Write down 8 as next digit of the result. 
Result so far: 6767.58
Deduct 760 from 850 and we're left with 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

On to step 9:
95 goes into 900 9 times with a remainder of 45.
Use 9 as the next digit of our solution. 
Result so far: 6767.589
Subtracting 855 from 900 leaves us with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 10:
95 goes into 450 4 times with a remainder of 70.
The next digit of our result is 4. 
Result so far: 6767.5894
The remainder is 70 after subtracting 380 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Step 11:
If we divide 700 by 95, we get 7 and a remainder of 35.
The next digit of our result is 7. 
Result so far: 6767.58947
Deduct 665 from 700 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 12:
95 goes into 350 3 times with a remainder of 65.
Use 3 as the next digit of our solution. 
Result so far: 6767.589473
Subtracting 285 from 350 leaves us with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

On to step 13:
650 divided by 95 is 6 with a remainder of 80.
Record the quotient 6 as the next digit in the result. 
Result so far: 6767.5894736
Deduct 570 from 650 and we're left with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

On to step 14:
800 divided by 95 is 8 with a remainder of 40.
Record the quotient 8 as the next digit in the result. 
Result so far: 6767.58947368
Deduct 760 from 800 and we're left with 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 quotient of the division is 6767.58947368, and the remainder is 4e-08.