434103 divided by 21 
We're looking to find how many times 21 goes into 434103.

Going ahead to step 1:
The number 21 fits into 4 0 times, leaving a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 21

Step 2:
43 divided by 21 is 2 with a remainder of 1.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtract 42 from 43 to get 1.
Include the next digit (4) from the dividend after 1, then repeat: 14 / 21

Step 3:
When dividing 14 by 21, we get 0 with a remainder of 14.
Put 0 as the next digit of the answer. 
Result so far: 20.0
The remainder is 14 after subtracting 0 from 14.
Append the next digit (1) from the dividend to 14 and continue with: 141 / 21

Step 4:
141 divided by 21 is 6 with a remainder of 15.
Write down 6 as next digit of the result. 
Result so far: 206.0
If we subtract 126 from 141, we get 15.
Grab the next digit (0) from the dividend, add it to 15, then carry on: 150 / 21

Let's proceed to step 5:
When dividing 150 by 21, we get 7 with a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 2067.0
Subtracting 147 from 150 leaves us with 3.
Append the next digit (3) from the dividend to 3 and continue with: 33 / 21

Step 6:
When dividing 33 by 21, we get 1 with a remainder of 12.
The number 1 becomes the next digit in our result. 
Result so far: 20671.0
Subtracting 21 from 33 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 7:
21 can be fit into 120 5 times, resulting in a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 20671.5
Subtracting 105 from 120 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 8:
21 goes into 150 7 times with a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 20671.57
If we subtract 147 from 150, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 9:
If we divide 30 by 21, we get 1 and a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 20671.571
Deduct 21 from 30 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 10:
21 can be fit into 90 4 times, resulting in a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 20671.5714
The remainder is 6 after subtracting 84 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 11:
The number 21 fits into 60 2 times, leaving a remainder of 18.
Use 2 as the next digit of our solution. 
Result so far: 20671.57142
Subtracting 42 from 60 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 12:
180 divided by 21 is 8 with a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 20671.571428
If we take 168 away from 180, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 13:
21 goes into 120 5 times with a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 20671.5714285
Subtract 105 from 120 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 14:
If we divide 150 by 21, we get 7 and a remainder of 3.
The next digit of our result is 7. 
Result so far: 20671.57142857
Subtract 147 from 150 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

After the division, we end up with 20671.57142857 and a remainder of 3e-09.