Let's divide 6436766 by 901
We're looking to find how many times 901 goes into 6436766.

Advancing to step 1:
The number 901 fits into 6 0 times, leaving a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 901

On to step 2:
If we divide 64 by 901, we get 0 and a remainder of 64.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 64 to get 64.
Bring next digit (3) of the dividend behind the 64 and repeat the process: 643 / 901

Moving on to step 3:
643 divided by 901 is 0 with a remainder of 643.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 643, we get 643.
Grab the next digit (6) from the dividend, add it to 643, then carry on: 6436 / 901

Going ahead to step 4:
The number 901 fits into 6436 7 times, leaving a remainder of 129.
The next digit of our result is 7. 
Result so far: 7.0
Subtracting 6307 from 6436 leaves us with 129.
Include the next digit (7) from the dividend after 129, then repeat: 1297 / 901

Advancing to step 5:
The number 901 fits into 1297 1 times, leaving a remainder of 396.
Put 1 as the next digit of the answer. 
Result so far: 71.0
If we take 901 away from 1297, we end up with 396.
Include the next digit (6) from the dividend after 396, then repeat: 3966 / 901

Let's proceed to step 6:
The number 901 fits into 3966 4 times, leaving a remainder of 362.
The number 4 becomes the next digit in our result. 
Result so far: 714.0
The remainder is 362 after subtracting 3604 from 3966.
Bring next digit (6) of the dividend behind the 362 and repeat the process: 3626 / 901

Advancing to step 7:
901 goes into 3626 4 times with a remainder of 22.
The next digit of our result is 4. 
Result so far: 7144.0
Subtract 3604 from 3626 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 8:
901 goes into 220 0 times with a remainder of 220.
Use 0 as the next digit of our solution. 
Result so far: 7144.0
If we take 0 away from 220, we end up with 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2200, and continue the process.

Step 9:
The number 901 fits into 2200 2 times, leaving a remainder of 398.
Use 2 as the next digit of our solution. 
Result so far: 7144.02
Subtracting 1802 from 2200 leaves us with 398.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3980, and continue the process.

Going ahead to step 10:
When dividing 3980 by 901, we get 4 with a remainder of 376.
Record the quotient 4 as the next digit in the result. 
Result so far: 7144.024
If we subtract 3604 from 3980, we get 376.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3760, and continue the process.

Moving on to step 11:
901 can be fit into 3760 4 times, resulting in a remainder of 156.
Put 4 as the next digit of the answer. 
Result so far: 7144.0244
If we subtract 3604 from 3760, we get 156.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1560, and continue the process.

After the division, we end up with 7144.0244 and a remainder of 0.00156.