We're dividing 743421 by 55 
We want to figure out the number of times 743421 can be divided by 55.

Let's proceed to step 1:
If we divide 7 by 55, we get 0 and a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Fetch the next digit (4) from the dividend, attach it to 7 and continue: 74 / 55

Advancing to step 2:
The number 55 fits into 74 1 times, leaving a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 55 from 74 and we're left with 19.
Fetch the next digit (3) from the dividend, attach it to 19 and continue: 193 / 55

On to step 3:
55 goes into 193 3 times with a remainder of 28.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
If we subtract 165 from 193, we get 28.
Include the next digit (4) from the dividend after 28, then repeat: 284 / 55

Step 4:
When dividing 284 by 55, we get 5 with a remainder of 9.
Write down 5 as next digit of the result. 
Result so far: 135.0
Deduct 275 from 284 and we're left with 9.
Fetch the next digit (2) from the dividend, attach it to 9 and continue: 92 / 55

Moving on to step 5:
The number 55 fits into 92 1 times, leaving a remainder of 37.
Write down 1 as next digit of the result. 
Result so far: 1351.0
Deduct 55 from 92 and we're left with 37.
Grab the next digit (1) from the dividend, add it to 37, then carry on: 371 / 55

Step 6:
If we divide 371 by 55, we get 6 and a remainder of 41.
The next digit of our result is 6. 
Result so far: 13516.0
Deduct 330 from 371 and we're left with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

On to step 7:
If we divide 410 by 55, we get 7 and a remainder of 25.
The number 7 becomes the next digit in our result. 
Result so far: 13516.7
The remainder is 25 after subtracting 385 from 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 8:
When dividing 250 by 55, we get 4 with a remainder of 30.
Use 4 as the next digit of our solution. 
Result so far: 13516.74
Subtract 220 from 250 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 9:
When dividing 300 by 55, we get 5 with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 13516.745
Deduct 275 from 300 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 10:
The number 55 fits into 250 4 times, leaving a remainder of 30.
Put 4 as the next digit of the answer. 
Result so far: 13516.7454
Deduct 220 from 250 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 11:
When dividing 300 by 55, we get 5 with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 13516.74545
If we subtract 275 from 300, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 12:
The number 55 fits into 250 4 times, leaving a remainder of 30.
Write down 4 as next digit of the result. 
Result so far: 13516.745454
If we subtract 220 from 250, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 13:
300 divided by 55 is 5 with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 13516.7454545
The remainder is 25 after subtracting 275 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 14:
If we divide 250 by 55, we get 4 and a remainder of 30.
Use 4 as the next digit of our solution. 
Result so far: 13516.74545454
Subtracting 220 from 250 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

In conclusion, the division gives 13516.74545454 with a balance of 3e-08.