We're dividing 6726032 by 738 
Our goal is to divide 6726032 by 738.

Step 1:
6 divided by 738 is 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Grab the next digit (7) from the dividend, add it to 6, then carry on: 67 / 738

Let's proceed to step 2:
The number 738 fits into 67 0 times, leaving a remainder of 67.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 67 to get 67.
Grab the next digit (2) from the dividend, add it to 67, then carry on: 672 / 738

Step 3:
When dividing 672 by 738, we get 0 with a remainder of 672.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 672 and we're left with 672.
Bring next digit (6) of the dividend behind the 672 and repeat the process: 6726 / 738

Let's proceed to step 4:
738 can be fit into 6726 9 times, resulting in a remainder of 84.
Put 9 as the next digit of the answer. 
Result so far: 9.0
Deduct 6642 from 6726 and we're left with 84.
Fetch the next digit (0) from the dividend, attach it to 84 and continue: 840 / 738

Moving on to step 5:
If we divide 840 by 738, we get 1 and a remainder of 102.
Write down 1 as next digit of the result. 
Result so far: 91.0
Subtract 738 from 840 to get 102.
Append the next digit (3) from the dividend to 102 and continue with: 1023 / 738

Moving on to step 6:
738 goes into 1023 1 times with a remainder of 285.
Record the quotient 1 as the next digit in the result. 
Result so far: 911.0
If we subtract 738 from 1023, we get 285.
Fetch the next digit (2) from the dividend, attach it to 285 and continue: 2852 / 738

Let's proceed to step 7:
The number 738 fits into 2852 3 times, leaving a remainder of 638.
Use 3 as the next digit of our solution. 
Result so far: 9113.0
Deduct 2214 from 2852 and we're left 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.

Let's proceed to step 8:
The number 738 fits into 6380 8 times, leaving a remainder of 476.
Put 8 as the next digit of the answer. 
Result so far: 9113.8
If we take 5904 away from 6380, we end up with 476.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4760, and continue the process.

On to step 9:
The number 738 fits into 4760 6 times, leaving a remainder of 332.
Record the quotient 6 as the next digit in the result. 
Result so far: 9113.86
Subtract 4428 from 4760 to get 332.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3320, and continue the process.

Advancing to step 10:
The number 738 fits into 3320 4 times, leaving a remainder of 368.
Write down 4 as next digit of the result. 
Result so far: 9113.864
Subtract 2952 from 3320 to get 368.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3680, and continue the process.

Let's proceed to step 11:
When dividing 3680 by 738, we get 4 with a remainder of 728.
The next digit of our result is 4. 
Result so far: 9113.8644
Deduct 2952 from 3680 and we're left with 728.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7280, and continue the process.

In conclusion, the division gives 9113.8644 with a balance of 0.00728.