We divide 743633 by 71
Our goal is to divide 743633 by 71.

Step 1:
71 goes into 7 0 times with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Fetch the next digit (4) from the dividend, attach it to 7 and continue: 74 / 71

Step 2:
The number 71 fits into 74 1 times, leaving a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 71 from 74 leaves us with 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 71

Advancing to step 3:
If we divide 33 by 71, we get 0 and a remainder of 33.
Use 0 as the next digit of our solution. 
Result so far: 10.0
If we take 0 away from 33, we end up with 33.
Append the next digit (6) from the dividend to 33 and continue with: 336 / 71

Moving on to step 4:
If we divide 336 by 71, we get 4 and a remainder of 52.
Write down 4 as next digit of the result. 
Result so far: 104.0
If we take 284 away from 336, we end up with 52.
Grab the next digit (3) from the dividend, add it to 52, then carry on: 523 / 71

Advancing to step 5:
523 divided by 71 is 7 with a remainder of 26.
Record the quotient 7 as the next digit in the result. 
Result so far: 1047.0
The remainder is 26 after subtracting 497 from 523.
Fetch the next digit (3) from the dividend, attach it to 26 and continue: 263 / 71

Advancing to step 6:
263 divided by 71 is 3 with a remainder of 50.
The next digit of our result is 3. 
Result so far: 10473.0
If we subtract 213 from 263, we 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.

Let's proceed to step 7:
71 goes into 500 7 times with a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 10473.7
If we take 497 away from 500, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 8:
When dividing 30 by 71, we get 0 with a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 10473.7
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 9:
300 divided by 71 is 4 with a remainder of 16.
The next digit of our result is 4. 
Result so far: 10473.704
Deduct 284 from 300 and we're left 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.

On to step 10:
If we divide 160 by 71, we get 2 and a remainder of 18.
The number 2 becomes the next digit in our result. 
Result so far: 10473.7042
Subtract 142 from 160 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 11:
The number 71 fits into 180 2 times, leaving a remainder of 38.
Put 2 as the next digit of the answer. 
Result so far: 10473.70422
Subtract 142 from 180 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

After the division, we end up with 10473.70422 and a remainder of 3.8e-05.