We look at the division of 35311415 by 643 
We're looking to find how many times 643 goes into 35311415.

Let's proceed to step 1:
If we divide 3 by 643, we get 0 and a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 643

Moving on to step 2:
643 can be fit into 35 0 times, resulting in a remainder of 35.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 35, we get 35.
Include the next digit (3) from the dividend after 35, then repeat: 353 / 643

Let's proceed to step 3:
If we divide 353 by 643, we get 0 and a remainder of 353.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 353 and we're left with 353.
Grab the next digit (1) from the dividend, add it to 353, then carry on: 3531 / 643

Let's proceed to step 4:
643 can be fit into 3531 5 times, resulting in a remainder of 316.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Subtracting 3215 from 3531 leaves us with 316.
Include the next digit (1) from the dividend after 316, then repeat: 3161 / 643

Let's proceed to step 5:
The number 643 fits into 3161 4 times, leaving a remainder of 589.
The number 4 becomes the next digit in our result. 
Result so far: 54.0
If we take 2572 away from 3161, we end up with 589.
Bring next digit (4) of the dividend behind the 589 and repeat the process: 5894 / 643

Advancing to step 6:
When dividing 5894 by 643, we get 9 with a remainder of 107.
The next digit of our result is 9. 
Result so far: 549.0
If we subtract 5787 from 5894, we get 107.
Grab the next digit (1) from the dividend, add it to 107, then carry on: 1071 / 643

Moving on to step 7:
When dividing 1071 by 643, we get 1 with a remainder of 428.
Record the quotient 1 as the next digit in the result. 
Result so far: 5491.0
If we take 643 away from 1071, we end up with 428.
Take the next digit (5) from the dividend and append it to 428, then repeat: 4285 / 643

Going ahead to step 8:
The number 643 fits into 4285 6 times, leaving a remainder of 427.
Record the quotient 6 as the next digit in the result. 
Result so far: 54916.0
Deduct 3858 from 4285 and we're left with 427.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4270, and continue the process.

Moving on to step 9:
643 can be fit into 4270 6 times, resulting in a remainder of 412.
Write down 6 as next digit of the result. 
Result so far: 54916.6
Subtracting 3858 from 4270 leaves us with 412.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4120, and continue the process.

On to step 10:
643 can be fit into 4120 6 times, resulting in a remainder of 262.
The number 6 becomes the next digit in our result. 
Result so far: 54916.66
If we take 3858 away from 4120, we end up with 262.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2620, and continue the process.

The quotient of the division is 54916.66, and the remainder is 0.262.