We're dividing 95122321 by 639 
We want to divide 95122321 by 639.

On to step 1:
The number 639 fits into 9 0 times, leaving a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Bring next digit (5) of the dividend behind the 9 and repeat the process: 95 / 639

On to step 2:
When dividing 95 by 639, we get 0 with a remainder of 95.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 95 leaves us with 95.
Include the next digit (1) from the dividend after 95, then repeat: 951 / 639

Going ahead to step 3:
When dividing 951 by 639, we get 1 with a remainder of 312.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 639 from 951 to get 312.
Append the next digit (2) from the dividend to 312 and continue with: 3122 / 639

Advancing to step 4:
The number 639 fits into 3122 4 times, leaving a remainder of 566.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
If we subtract 2556 from 3122, we get 566.
Grab the next digit (2) from the dividend, add it to 566, then carry on: 5662 / 639

Let's proceed to step 5:
639 can be fit into 5662 8 times, resulting in a remainder of 550.
Put 8 as the next digit of the answer. 
Result so far: 148.0
If we take 5112 away from 5662, we end up with 550.
Fetch the next digit (3) from the dividend, attach it to 550 and continue: 5503 / 639

Moving on to step 6:
The number 639 fits into 5503 8 times, leaving a remainder of 391.
Record the quotient 8 as the next digit in the result. 
Result so far: 1488.0
Subtract 5112 from 5503 to get 391.
Take the next digit (2) from the dividend and append it to 391, then repeat: 3912 / 639

Moving on to step 7:
639 goes into 3912 6 times with a remainder of 78.
Use 6 as the next digit of our solution. 
Result so far: 14886.0
Deduct 3834 from 3912 and we're left with 78.
Append the next digit (1) from the dividend to 78 and continue with: 781 / 639

Advancing to step 8:
If we divide 781 by 639, we get 1 and a remainder of 142.
Record the quotient 1 as the next digit in the result. 
Result so far: 148861.0
The remainder is 142 after subtracting 639 from 781.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1420, and continue the process.

Moving on to step 9:
639 can be fit into 1420 2 times, resulting in a remainder of 142.
Use 2 as the next digit of our solution. 
Result so far: 148861.2
Deduct 1278 from 1420 and we're left with 142.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1420, and continue the process.

Step 10:
639 can be fit into 1420 2 times, resulting in a remainder of 142.
The number 2 becomes the next digit in our result. 
Result so far: 148861.22
Deduct 1278 from 1420 and we're left with 142.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1420, and continue the process.

After the division, we end up with 148861.22 and a remainder of 0.142.