We divide 553021 by 74
We're looking to find how many times 74 goes into 553021.

Let's proceed to step 1:
5 divided by 74 is 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 74

Moving on to step 2:
The number 74 fits into 55 0 times, leaving a remainder of 55.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 55 after subtracting 0 from 55.
Fetch the next digit (3) from the dividend, attach it to 55 and continue: 553 / 74

Step 3:
When dividing 553 by 74, we get 7 with a remainder of 35.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we subtract 518 from 553, we get 35.
Fetch the next digit (0) from the dividend, attach it to 35 and continue: 350 / 74

Step 4:
When dividing 350 by 74, we get 4 with a remainder of 54.
Put 4 as the next digit of the answer. 
Result so far: 74.0
Deduct 296 from 350 and we're left with 54.
Bring next digit (2) of the dividend behind the 54 and repeat the process: 542 / 74

Advancing to step 5:
542 divided by 74 is 7 with a remainder of 24.
The next digit of our result is 7. 
Result so far: 747.0
Deduct 518 from 542 and we're left with 24.
Take the next digit (1) from the dividend and append it to 24, then repeat: 241 / 74

Step 6:
74 can be fit into 241 3 times, resulting in a remainder of 19.
The number 3 becomes the next digit in our result. 
Result so far: 7473.0
The remainder is 19 after subtracting 222 from 241.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 7:
74 goes into 190 2 times with a remainder of 42.
Put 2 as the next digit of the answer. 
Result so far: 7473.2
Subtract 148 from 190 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 8:
420 divided by 74 is 5 with a remainder of 50.
The number 5 becomes the next digit in our result. 
Result so far: 7473.25
The remainder is 50 after subtracting 370 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 9:
If we divide 500 by 74, we get 6 and a remainder of 56.
Put 6 as the next digit of the answer. 
Result so far: 7473.256
Deduct 444 from 500 and we're left 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.

Let's proceed to step 10:
560 divided by 74 is 7 with a remainder of 42.
The number 7 becomes the next digit in our result. 
Result so far: 7473.2567
The remainder is 42 after subtracting 518 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 11:
The number 74 fits into 420 5 times, leaving a remainder of 50.
The number 5 becomes the next digit in our result. 
Result so far: 7473.25675
Deduct 370 from 420 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 12:
74 can be fit into 500 6 times, resulting in a remainder of 56.
The number 6 becomes the next digit in our result. 
Result so far: 7473.256756
Deduct 444 from 500 and we're left 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.

Step 13:
When dividing 560 by 74, we get 7 with a remainder of 42.
The number 7 becomes the next digit in our result. 
Result so far: 7473.2567567
Deduct 518 from 560 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 14:
The number 74 fits into 420 5 times, leaving a remainder of 50.
Use 5 as the next digit of our solution. 
Result so far: 7473.25675675
Subtract 370 from 420 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The final result is 7473.25675675 with a remainder of 5e-08.