We're dividing 641433 by 93 
We're looking to find how many times 93 goes into 641433.

Advancing to step 1:
93 can be fit into 6 0 times, resulting in a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 93

Let's proceed to step 2:
If we divide 64 by 93, we get 0 and a remainder of 64.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 64, we get 64.
Append the next digit (1) from the dividend to 64 and continue with: 641 / 93

Going ahead to step 3:
641 divided by 93 is 6 with a remainder of 83.
The next digit of our result is 6. 
Result so far: 6.0
If we take 558 away from 641, we end up with 83.
Append the next digit (4) from the dividend to 83 and continue with: 834 / 93

Moving on to step 4:
If we divide 834 by 93, we get 8 and a remainder of 90.
The next digit of our result is 8. 
Result so far: 68.0
Deduct 744 from 834 and we're left with 90.
Include the next digit (3) from the dividend after 90, then repeat: 903 / 93

On to step 5:
903 divided by 93 is 9 with a remainder of 66.
Use 9 as the next digit of our solution. 
Result so far: 689.0
Subtracting 837 from 903 leaves us with 66.
Append the next digit (3) from the dividend to 66 and continue with: 663 / 93

Going ahead to step 6:
When dividing 663 by 93, we get 7 with a remainder of 12.
The number 7 becomes the next digit in our result. 
Result so far: 6897.0
Deduct 651 from 663 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 7:
93 can be fit into 120 1 times, resulting in a remainder of 27.
Put 1 as the next digit of the answer. 
Result so far: 6897.1
The remainder is 27 after subtracting 93 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 8:
When dividing 270 by 93, we get 2 with a remainder of 84.
The number 2 becomes the next digit in our result. 
Result so far: 6897.12
The remainder is 84 after subtracting 186 from 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Advancing to step 9:
93 can be fit into 840 9 times, resulting in a remainder of 3.
The next digit of our result is 9. 
Result so far: 6897.129
If we take 837 away from 840, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 10:
The number 93 fits into 30 0 times, leaving a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 6897.129
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 11:
300 divided by 93 is 3 with a remainder of 21.
Put 3 as the next digit of the answer. 
Result so far: 6897.12903
If we take 279 away from 300, we end up 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.

Moving on to step 12:
93 can be fit into 210 2 times, resulting in a remainder of 24.
Record the quotient 2 as the next digit in the result. 
Result so far: 6897.129032
If we subtract 186 from 210, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 13:
If we divide 240 by 93, we get 2 and a remainder of 54.
Record the quotient 2 as the next digit in the result. 
Result so far: 6897.1290322
The remainder is 54 after subtracting 186 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

The quotient of the division is 6897.1290322, and the remainder is 5.4e-07.