We look at the division of 642214 by 95 
Our goal is to divide 642214 by 95.

On to step 1:
When dividing 6 by 95, we get 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 95

Step 2:
64 divided by 95 is 0 with a remainder of 64.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 64 leaves us with 64.
Grab the next digit (2) from the dividend, add it to 64, then carry on: 642 / 95

Going ahead to step 3:
The number 95 fits into 642 6 times, leaving a remainder of 72.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtracting 570 from 642 leaves us with 72.
Grab the next digit (2) from the dividend, add it to 72, then carry on: 722 / 95

Moving on to step 4:
95 can be fit into 722 7 times, resulting in a remainder of 57.
The next digit of our result is 7. 
Result so far: 67.0
If we take 665 away from 722, we end up with 57.
Bring next digit (1) of the dividend behind the 57 and repeat the process: 571 / 95

Let's proceed to step 5:
When dividing 571 by 95, we get 6 with a remainder of 1.
Record the quotient 6 as the next digit in the result. 
Result so far: 676.0
Subtracting 570 from 571 leaves us with 1.
Take the next digit (4) from the dividend and append it to 1, then repeat: 14 / 95

Going ahead to step 6:
95 can be fit into 14 0 times, resulting in a remainder of 14.
Write down 0 as next digit of the result. 
Result so far: 6760.0
Subtract 0 from 14 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 7:
The number 95 fits into 140 1 times, leaving a remainder of 45.
Write down 1 as next digit of the result. 
Result so far: 6760.1
The remainder is 45 after subtracting 95 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

On to step 8:
If we divide 450 by 95, we get 4 and a remainder of 70.
The next digit of our result is 4. 
Result so far: 6760.14
If we subtract 380 from 450, we get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

On to step 9:
The number 95 fits into 700 7 times, leaving a remainder of 35.
The number 7 becomes the next digit in our result. 
Result so far: 6760.147
If we take 665 away from 700, we end up 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.

Moving on to step 10:
When dividing 350 by 95, we get 3 with a remainder of 65.
Put 3 as the next digit of the answer. 
Result so far: 6760.1473
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 11:
95 goes into 650 6 times with a remainder of 80.
Put 6 as the next digit of the answer. 
Result so far: 6760.14736
The remainder is 80 after subtracting 570 from 650.
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 12:
95 goes into 800 8 times with a remainder of 40.
The next digit of our result is 8. 
Result so far: 6760.147368
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.

Going ahead to step 13:
400 divided by 95 is 4 with a remainder of 20.
The number 4 becomes the next digit in our result. 
Result so far: 6760.1473684
The remainder is 20 after subtracting 380 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 14:
The number 95 fits into 200 2 times, leaving a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 6760.14736842
If we take 190 away from 200, we end up 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.

The quotient of the division is 6760.14736842, and the remainder is 1e-08.