We're dividing 563577 by 37 
Our goal is to divide 563577 by 37.

Going ahead to step 1:
The number 37 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Grab the next digit (6) from the dividend, add it to 5, then carry on: 56 / 37

Step 2:
37 goes into 56 1 times with a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 37 away from 56, we end up with 19.
Grab the next digit (3) from the dividend, add it to 19, then carry on: 193 / 37

Going ahead to step 3:
If we divide 193 by 37, we get 5 and a remainder of 8.
The next digit of our result is 5. 
Result so far: 15.0
The remainder is 8 after subtracting 185 from 193.
Include the next digit (5) from the dividend after 8, then repeat: 85 / 37

Advancing to step 4:
37 goes into 85 2 times with a remainder of 11.
Write down 2 as next digit of the result. 
Result so far: 152.0
Subtracting 74 from 85 leaves us with 11.
Bring next digit (7) of the dividend behind the 11 and repeat the process: 117 / 37

On to step 5:
When dividing 117 by 37, we get 3 with a remainder of 6.
Write down 3 as next digit of the result. 
Result so far: 1523.0
Subtracting 111 from 117 leaves us with 6.
Append the next digit (7) from the dividend to 6 and continue with: 67 / 37

Advancing to step 6:
37 goes into 67 1 times with a remainder of 30.
Write down 1 as next digit of the result. 
Result so far: 15231.0
Deduct 37 from 67 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.

Let's proceed to step 7:
37 goes into 300 8 times with a remainder of 4.
The next digit of our result is 8. 
Result so far: 15231.8
Deduct 296 from 300 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 8:
If we divide 40 by 37, we get 1 and a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 15231.81
Deduct 37 from 40 and we're left 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 9:
30 divided by 37 is 0 with a remainder of 30.
The next digit of our result is 0. 
Result so far: 15231.81
Subtract 0 from 30 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.

Let's proceed to step 10:
If we divide 300 by 37, we get 8 and a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 15231.8108
If we take 296 away from 300, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 11:
The number 37 fits into 40 1 times, leaving a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 15231.81081
If we subtract 37 from 40, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 12:
If we divide 30 by 37, we get 0 and a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 15231.81081
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 13:
37 goes into 300 8 times with a remainder of 4.
The next digit of our result is 8. 
Result so far: 15231.8108108
Subtract 296 from 300 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 14:
37 goes into 40 1 times with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 15231.81081081
If we subtract 37 from 40, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The quotient of the division is 15231.81081081, and the remainder is 3e-09.