We're dividing 29674 by 21 
We want to divide 29674 by 21.

Advancing to step 1:
If we divide 2 by 21, we get 0 and a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Take the next digit (9) from the dividend and append it to 2, then repeat: 29 / 21

Going ahead to step 2:
The number 21 fits into 29 1 times, leaving a remainder of 8.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 21 away from 29, we end up with 8.
Fetch the next digit (6) from the dividend, attach it to 8 and continue: 86 / 21

Moving on to step 3:
If we divide 86 by 21, we get 4 and a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
Subtracting 84 from 86 leaves us with 2.
Fetch the next digit (7) from the dividend, attach it to 2 and continue: 27 / 21

Moving on to step 4:
27 divided by 21 is 1 with a remainder of 6.
The next digit of our result is 1. 
Result so far: 141.0
Deduct 21 from 27 and we're left with 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 21

On to step 5:
21 goes into 64 3 times with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 1413.0
Subtracting 63 from 64 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 6:
21 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 1413.0
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 7:
When dividing 100 by 21, we get 4 with a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 1413.04
If we take 84 away from 100, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 8:
21 can be fit into 160 7 times, resulting in a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 1413.047
Deduct 147 from 160 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 9:
The number 21 fits into 130 6 times, leaving a remainder of 4.
The next digit of our result is 6. 
Result so far: 1413.0476
The remainder is 4 after subtracting 126 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 10:
21 can be fit into 40 1 times, resulting in a remainder of 19.
The next digit of our result is 1. 
Result so far: 1413.04761
Subtract 21 from 40 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 11:
21 can be fit into 190 9 times, resulting in a remainder of 1.
The next digit of our result is 9. 
Result so far: 1413.047619
Subtract 189 from 190 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 12:
10 divided by 21 is 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 1413.047619
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 13:
100 divided by 21 is 4 with a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 1413.04761904
If we take 84 away from 100, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The quotient of the division is 1413.04761904, and the remainder is 1.6e-08.