We look at the division of 15365432 by 738 
We want to divide 15365432 by 738.

Going ahead to step 1:
If we divide 1 by 738, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 738

Advancing to step 2:
When dividing 15 by 738, we get 0 with a remainder of 15.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 15, we end up with 15.
Bring next digit (3) of the dividend behind the 15 and repeat the process: 153 / 738

Let's proceed to step 3:
When dividing 153 by 738, we get 0 with a remainder of 153.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 153 after subtracting 0 from 153.
Include the next digit (6) from the dividend after 153, then repeat: 1536 / 738

Step 4:
738 goes into 1536 2 times with a remainder of 60.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtracting 1476 from 1536 leaves us with 60.
Include the next digit (5) from the dividend after 60, then repeat: 605 / 738

Going ahead to step 5:
The number 738 fits into 605 0 times, leaving a remainder of 605.
Use 0 as the next digit of our solution. 
Result so far: 20.0
If we take 0 away from 605, we end up with 605.
Fetch the next digit (4) from the dividend, attach it to 605 and continue: 6054 / 738

On to step 6:
738 can be fit into 6054 8 times, resulting in a remainder of 150.
Put 8 as the next digit of the answer. 
Result so far: 208.0
If we subtract 5904 from 6054, we get 150.
Include the next digit (3) from the dividend after 150, then repeat: 1503 / 738

Advancing to step 7:
When dividing 1503 by 738, we get 2 with a remainder of 27.
Record the quotient 2 as the next digit in the result. 
Result so far: 2082.0
If we take 1476 away from 1503, we end up with 27.
Bring next digit (2) of the dividend behind the 27 and repeat the process: 272 / 738

Going ahead to step 8:
The number 738 fits into 272 0 times, leaving a remainder of 272.
Record the quotient 0 as the next digit in the result. 
Result so far: 20820.0
Subtracting 0 from 272 leaves us with 272.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2720, and continue the process.

Let's proceed to step 9:
738 goes into 2720 3 times with a remainder of 506.
Record the quotient 3 as the next digit in the result. 
Result so far: 20820.3
The remainder is 506 after subtracting 2214 from 2720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5060, and continue the process.

Moving on to step 10:
When dividing 5060 by 738, we get 6 with a remainder of 632.
The number 6 becomes the next digit in our result. 
Result so far: 20820.36
The remainder is 632 after subtracting 4428 from 5060.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6320, and continue the process.

Step 11:
If we divide 6320 by 738, we get 8 and a remainder of 416.
Use 8 as the next digit of our solution. 
Result so far: 20820.368
If we subtract 5904 from 6320, we get 416.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4160, and continue the process.

Moving on to step 12:
4160 divided by 738 is 5 with a remainder of 470.
Use 5 as the next digit of our solution. 
Result so far: 20820.3685
If we subtract 3690 from 4160, we get 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4700, and continue the process.

Step 13:
4700 divided by 738 is 6 with a remainder of 272.
Use 6 as the next digit of our solution. 
Result so far: 20820.36856
Subtract 4428 from 4700 to get 272.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2720, and continue the process.

On to step 14:
The number 738 fits into 2720 3 times, leaving a remainder of 506.
Use 3 as the next digit of our solution. 
Result so far: 20820.368563
The remainder is 506 after subtracting 2214 from 2720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5060, and continue the process.

On to step 15:
738 can be fit into 5060 6 times, resulting in a remainder of 632.
Put 6 as the next digit of the answer. 
Result so far: 20820.3685636
Subtract 4428 from 5060 to get 632.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6320, and continue the process.

On to step 16:
The number 738 fits into 6320 8 times, leaving a remainder of 416.
Use 8 as the next digit of our solution. 
Result so far: 20820.36856368
If we subtract 5904 from 6320, we get 416.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4160, and continue the process.

The quotient of the division is 20820.36856368, and the remainder is 4.16e-07.