41039634 divided by 643 
Our goal is to divide 41039634 by 643.

On to step 1:
When dividing 4 by 643, we get 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 643

Going ahead to step 2:
643 goes into 41 0 times with a remainder of 41.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 41 leaves us with 41.
Grab the next digit (0) from the dividend, add it to 41, then carry on: 410 / 643

Going ahead to step 3:
The number 643 fits into 410 0 times, leaving a remainder of 410.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 410, we get 410.
Take the next digit (3) from the dividend and append it to 410, then repeat: 4103 / 643

Let's proceed to step 4:
643 goes into 4103 6 times with a remainder of 245.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtracting 3858 from 4103 leaves us with 245.
Take the next digit (9) from the dividend and append it to 245, then repeat: 2459 / 643

Moving on to step 5:
643 can be fit into 2459 3 times, resulting in a remainder of 530.
Put 3 as the next digit of the answer. 
Result so far: 63.0
If we subtract 1929 from 2459, we get 530.
Take the next digit (6) from the dividend and append it to 530, then repeat: 5306 / 643

Advancing to step 6:
643 goes into 5306 8 times with a remainder of 162.
Record the quotient 8 as the next digit in the result. 
Result so far: 638.0
If we take 5144 away from 5306, we end up with 162.
Fetch the next digit (3) from the dividend, attach it to 162 and continue: 1623 / 643

On to step 7:
When dividing 1623 by 643, we get 2 with a remainder of 337.
Put 2 as the next digit of the answer. 
Result so far: 6382.0
The remainder is 337 after subtracting 1286 from 1623.
Bring next digit (4) of the dividend behind the 337 and repeat the process: 3374 / 643

Advancing to step 8:
643 can be fit into 3374 5 times, resulting in a remainder of 159.
Write down 5 as next digit of the result. 
Result so far: 63825.0
Subtracting 3215 from 3374 leaves us with 159.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1590, and continue the process.

Advancing to step 9:
If we divide 1590 by 643, we get 2 and a remainder of 304.
The number 2 becomes the next digit in our result. 
Result so far: 63825.2
The remainder is 304 after subtracting 1286 from 1590.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3040, and continue the process.

Let's proceed to step 10:
3040 divided by 643 is 4 with a remainder of 468.
The next digit of our result is 4. 
Result so far: 63825.24
Subtract 2572 from 3040 to get 468.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4680, and continue the process.

Going ahead to step 11:
4680 divided by 643 is 7 with a remainder of 179.
The number 7 becomes the next digit in our result. 
Result so far: 63825.247
If we take 4501 away from 4680, we end up with 179.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1790, and continue the process.

Moving on to step 12:
643 can be fit into 1790 2 times, resulting in a remainder of 504.
The next digit of our result is 2. 
Result so far: 63825.2472
Subtracting 1286 from 1790 leaves us with 504.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5040, and continue the process.

Advancing to step 13:
643 can be fit into 5040 7 times, resulting in a remainder of 539.
Put 7 as the next digit of the answer. 
Result so far: 63825.24727
Deduct 4501 from 5040 and we're left with 539.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5390, and continue the process.

Let's proceed to step 14:
If we divide 5390 by 643, we get 8 and a remainder of 246.
The next digit of our result is 8. 
Result so far: 63825.247278
The remainder is 246 after subtracting 5144 from 5390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2460, and continue the process.

Advancing to step 15:
643 can be fit into 2460 3 times, resulting in a remainder of 531.
Record the quotient 3 as the next digit in the result. 
Result so far: 63825.2472783
Subtracting 1929 from 2460 leaves us with 531.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5310, and continue the process.

Going ahead to step 16:
5310 divided by 643 is 8 with a remainder of 166.
The next digit of our result is 8. 
Result so far: 63825.24727838
The remainder is 166 after subtracting 5144 from 5310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1660, and continue the process.

Our division results in 63825.24727838 with a remaining 1.66e-07.