42999021 ÷ 641 
We want to figure out the number of times 42999021 can be divided by 641.

Let's proceed to step 1:
641 goes into 4 0 times with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 641

Let's proceed to step 2:
When dividing 42 by 641, we get 0 with a remainder of 42.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 42 to get 42.
Include the next digit (9) from the dividend after 42, then repeat: 429 / 641

On to step 3:
The number 641 fits into 429 0 times, leaving a remainder of 429.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 429, we end up with 429.
Fetch the next digit (9) from the dividend, attach it to 429 and continue: 4299 / 641

Going ahead to step 4:
641 can be fit into 4299 6 times, resulting in a remainder of 453.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
The remainder is 453 after subtracting 3846 from 4299.
Bring next digit (9) of the dividend behind the 453 and repeat the process: 4539 / 641

Advancing to step 5:
641 can be fit into 4539 7 times, resulting in a remainder of 52.
Write down 7 as next digit of the result. 
Result so far: 67.0
Deduct 4487 from 4539 and we're left with 52.
Append the next digit (0) from the dividend to 52 and continue with: 520 / 641

Let's proceed to step 6:
641 can be fit into 520 0 times, resulting in a remainder of 520.
Put 0 as the next digit of the answer. 
Result so far: 670.0
The remainder is 520 after subtracting 0 from 520.
Grab the next digit (2) from the dividend, add it to 520, then carry on: 5202 / 641

Step 7:
641 can be fit into 5202 8 times, resulting in a remainder of 74.
Put 8 as the next digit of the answer. 
Result so far: 6708.0
Subtracting 5128 from 5202 leaves us with 74.
Take the next digit (1) from the dividend and append it to 74, then repeat: 741 / 641

Going ahead to step 8:
When dividing 741 by 641, we get 1 with a remainder of 100.
Record the quotient 1 as the next digit in the result. 
Result so far: 67081.0
Subtracting 641 from 741 leaves us with 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

Let's proceed to step 9:
When dividing 1000 by 641, we get 1 with a remainder of 359.
Write down 1 as next digit of the result. 
Result so far: 67081.1
If we subtract 641 from 1000, we get 359.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3590, and continue the process.

Advancing to step 10:
The number 641 fits into 3590 5 times, leaving a remainder of 385.
Use 5 as the next digit of our solution. 
Result so far: 67081.15
Deduct 3205 from 3590 and we're left with 385.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3850, and continue the process.

Advancing to step 11:
If we divide 3850 by 641, we get 6 and a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 67081.156
If we subtract 3846 from 3850, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 12:
The number 641 fits into 40 0 times, leaving a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 67081.156
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.

On to step 13:
641 goes into 400 0 times with a remainder of 400.
Use 0 as the next digit of our solution. 
Result so far: 67081.156
Subtract 0 from 400 to get 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4000, and continue the process.

The quotient of the division is 67081.156, and the remainder is 0.0004.