We look at the division of 34553353 by 742 
Let's see how many times 742 fits into 34553353.

Advancing to step 1:
The number 742 fits into 3 0 times, leaving a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 742

Going ahead to step 2:
If we divide 34 by 742, we get 0 and a remainder of 34.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 34 leaves us with 34.
Grab the next digit (5) from the dividend, add it to 34, then carry on: 345 / 742

Step 3:
When dividing 345 by 742, we get 0 with a remainder of 345.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 345 after subtracting 0 from 345.
Grab the next digit (5) from the dividend, add it to 345, then carry on: 3455 / 742

Step 4:
The number 742 fits into 3455 4 times, leaving a remainder of 487.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we subtract 2968 from 3455, we get 487.
Append the next digit (3) from the dividend to 487 and continue with: 4873 / 742

On to step 5:
742 goes into 4873 6 times with a remainder of 421.
The next digit of our result is 6. 
Result so far: 46.0
Subtract 4452 from 4873 to get 421.
Grab the next digit (3) from the dividend, add it to 421, then carry on: 4213 / 742

Going ahead to step 6:
742 goes into 4213 5 times with a remainder of 503.
Use 5 as the next digit of our solution. 
Result so far: 465.0
If we take 3710 away from 4213, we end up with 503.
Include the next digit (5) from the dividend after 503, then repeat: 5035 / 742

Step 7:
When dividing 5035 by 742, we get 6 with a remainder of 583.
The number 6 becomes the next digit in our result. 
Result so far: 4656.0
If we take 4452 away from 5035, we end up with 583.
Bring next digit (3) of the dividend behind the 583 and repeat the process: 5833 / 742

Step 8:
742 can be fit into 5833 7 times, resulting in a remainder of 639.
Record the quotient 7 as the next digit in the result. 
Result so far: 46567.0
Subtracting 5194 from 5833 leaves us with 639.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6390, and continue the process.

Step 9:
When dividing 6390 by 742, we get 8 with a remainder of 454.
Use 8 as the next digit of our solution. 
Result so far: 46567.8
If we take 5936 away from 6390, we end up with 454.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4540, and continue the process.

Let's proceed to step 10:
When dividing 4540 by 742, we get 6 with a remainder of 88.
Put 6 as the next digit of the answer. 
Result so far: 46567.86
The remainder is 88 after subtracting 4452 from 4540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Moving on to step 11:
The number 742 fits into 880 1 times, leaving a remainder of 138.
Write down 1 as next digit of the result. 
Result so far: 46567.861
Subtracting 742 from 880 leaves us with 138.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1380, and continue the process.

On to step 12:
If we divide 1380 by 742, we get 1 and a remainder of 638.
Use 1 as the next digit of our solution. 
Result so far: 46567.8611
Subtracting 742 from 1380 leaves us with 638.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6380, and continue the process.

In conclusion, the division gives 46567.8611 with a balance of 0.00638.