We divide 6403 by 68
We want to figure out the number of times 6403 can be divided by 68.

On to step 1:
68 can be fit into 6 0 times, resulting in a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 68

Advancing to step 2:
68 goes into 64 0 times with a remainder of 64.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 64, we end up with 64.
Bring next digit (0) of the dividend behind the 64 and repeat the process: 640 / 68

On to step 3:
68 can be fit into 640 9 times, resulting in a remainder of 28.
The next digit of our result is 9. 
Result so far: 9.0
The remainder is 28 after subtracting 612 from 640.
Bring next digit (3) of the dividend behind the 28 and repeat the process: 283 / 68

Step 4:
68 goes into 283 4 times with a remainder of 11.
Write down 4 as next digit of the result. 
Result so far: 94.0
If we subtract 272 from 283, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 5:
The number 68 fits into 110 1 times, leaving a remainder of 42.
Use 1 as the next digit of our solution. 
Result so far: 94.1
If we subtract 68 from 110, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 6:
420 divided by 68 is 6 with a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 94.16
Subtracting 408 from 420 leaves us 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.

Let's proceed to step 7:
68 goes into 120 1 times with a remainder of 52.
The next digit of our result is 1. 
Result so far: 94.161
Subtracting 68 from 120 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Moving on to step 8:
520 divided by 68 is 7 with a remainder of 44.
Put 7 as the next digit of the answer. 
Result so far: 94.1617
Deduct 476 from 520 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 9:
The number 68 fits into 440 6 times, leaving a remainder of 32.
Record the quotient 6 as the next digit in the result. 
Result so far: 94.16176
If we subtract 408 from 440, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 10:
68 can be fit into 320 4 times, resulting in a remainder of 48.
The next digit of our result is 4. 
Result so far: 94.161764
Deduct 272 from 320 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 11:
68 can be fit into 480 7 times, resulting in a remainder of 4.
The number 7 becomes the next digit in our result. 
Result so far: 94.1617647
If we take 476 away from 480, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 12:
When dividing 40 by 68, we get 0 with a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 94.1617647
Subtract 0 from 40 to get 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 94.1617647, and the remainder is 4e-08.