21005337 ÷ 677 
Our goal is to divide 21005337 by 677.

Let's proceed to step 1:
677 can be fit into 2 0 times, resulting in a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Grab the next digit (1) from the dividend, add it to 2, then carry on: 21 / 677

On to step 2:
When dividing 21 by 677, we get 0 with a remainder of 21.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 21, we get 21.
Bring next digit (0) of the dividend behind the 21 and repeat the process: 210 / 677

On to step 3:
210 divided by 677 is 0 with a remainder of 210.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 210 to get 210.
Append the next digit (0) from the dividend to 210 and continue with: 2100 / 677

Step 4:
If we divide 2100 by 677, we get 3 and a remainder of 69.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Subtracting 2031 from 2100 leaves us with 69.
Fetch the next digit (5) from the dividend, attach it to 69 and continue: 695 / 677

Let's proceed to step 5:
677 goes into 695 1 times with a remainder of 18.
The next digit of our result is 1. 
Result so far: 31.0
Deduct 677 from 695 and we're left with 18.
Take the next digit (3) from the dividend and append it to 18, then repeat: 183 / 677

On to step 6:
183 divided by 677 is 0 with a remainder of 183.
The next digit of our result is 0. 
Result so far: 310.0
Subtracting 0 from 183 leaves us with 183.
Include the next digit (3) from the dividend after 183, then repeat: 1833 / 677

Step 7:
When dividing 1833 by 677, we get 2 with a remainder of 479.
The number 2 becomes the next digit in our result. 
Result so far: 3102.0
If we take 1354 away from 1833, we end up with 479.
Include the next digit (7) from the dividend after 479, then repeat: 4797 / 677

Step 8:
The number 677 fits into 4797 7 times, leaving a remainder of 58.
Record the quotient 7 as the next digit in the result. 
Result so far: 31027.0
If we take 4739 away from 4797, we end up with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

On to step 9:
The number 677 fits into 580 0 times, leaving a remainder of 580.
The next digit of our result is 0. 
Result so far: 31027.0
If we take 0 away from 580, we end up with 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5800, and continue the process.

Going ahead to step 10:
When dividing 5800 by 677, we get 8 with a remainder of 384.
Write down 8 as next digit of the result. 
Result so far: 31027.08
If we subtract 5416 from 5800, we get 384.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3840, and continue the process.

Going ahead to step 11:
If we divide 3840 by 677, we get 5 and a remainder of 455.
Record the quotient 5 as the next digit in the result. 
Result so far: 31027.085
If we take 3385 away from 3840, we end up with 455.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4550, and continue the process.

Let's proceed to step 12:
When dividing 4550 by 677, we get 6 with a remainder of 488.
Put 6 as the next digit of the answer. 
Result so far: 31027.0856
If we take 4062 away from 4550, we end up with 488.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4880, and continue the process.

Moving on to step 13:
When dividing 4880 by 677, we get 7 with a remainder of 141.
The next digit of our result is 7. 
Result so far: 31027.08567
Deduct 4739 from 4880 and we're left with 141.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1410, and continue the process.

Advancing to step 14:
If we divide 1410 by 677, we get 2 and a remainder of 56.
Record the quotient 2 as the next digit in the result. 
Result so far: 31027.085672
Subtracting 1354 from 1410 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 15:
The number 677 fits into 560 0 times, leaving a remainder of 560.
The number 0 becomes the next digit in our result. 
Result so far: 31027.085672
Subtracting 0 from 560 leaves us with 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5600, and continue the process.

Step 16:
677 goes into 5600 8 times with a remainder of 184.
Write down 8 as next digit of the result. 
Result so far: 31027.08567208
If we subtract 5416 from 5600, we get 184.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1840, and continue the process.

The final outcome is 31027.08567208, with a leftover of 1.84e-07.