3739533 ÷ 563 
We want to figure out the number of times 3739533 can be divided by 563.

Moving on to step 1:
The number 563 fits into 3 0 times, leaving a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 563

Step 2:
If we divide 37 by 563, we get 0 and a remainder of 37.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 37, we end up with 37.
Include the next digit (3) from the dividend after 37, then repeat: 373 / 563

Let's proceed to step 3:
563 goes into 373 0 times with a remainder of 373.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 373 leaves us with 373.
Take the next digit (9) from the dividend and append it to 373, then repeat: 3739 / 563

On to step 4:
563 can be fit into 3739 6 times, resulting in a remainder of 361.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtracting 3378 from 3739 leaves us with 361.
Take the next digit (5) from the dividend and append it to 361, then repeat: 3615 / 563

Step 5:
If we divide 3615 by 563, we get 6 and a remainder of 237.
Put 6 as the next digit of the answer. 
Result so far: 66.0
Subtract 3378 from 3615 to get 237.
Bring next digit (3) of the dividend behind the 237 and repeat the process: 2373 / 563

Let's proceed to step 6:
563 goes into 2373 4 times with a remainder of 121.
The number 4 becomes the next digit in our result. 
Result so far: 664.0
If we take 2252 away from 2373, we end up with 121.
Fetch the next digit (3) from the dividend, attach it to 121 and continue: 1213 / 563

Advancing to step 7:
If we divide 1213 by 563, we get 2 and a remainder of 87.
The next digit of our result is 2. 
Result so far: 6642.0
If we take 1126 away from 1213, we end up with 87.
Since there are no more digits in the dividend, we add a zero to the remainder making it 870, and continue the process.

Going ahead to step 8:
The number 563 fits into 870 1 times, leaving a remainder of 307.
Use 1 as the next digit of our solution. 
Result so far: 6642.1
Deduct 563 from 870 and we're left with 307.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3070, and continue the process.

On to step 9:
The number 563 fits into 3070 5 times, leaving a remainder of 255.
The next digit of our result is 5. 
Result so far: 6642.15
The remainder is 255 after subtracting 2815 from 3070.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2550, and continue the process.

Going ahead to step 10:
2550 divided by 563 is 4 with a remainder of 298.
The next digit of our result is 4. 
Result so far: 6642.154
Deduct 2252 from 2550 and we're left with 298.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2980, and continue the process.

Going ahead to step 11:
The number 563 fits into 2980 5 times, leaving a remainder of 165.
Record the quotient 5 as the next digit in the result. 
Result so far: 6642.1545
Subtract 2815 from 2980 to get 165.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1650, and continue the process.

Going ahead to step 12:
1650 divided by 563 is 2 with a remainder of 524.
The next digit of our result is 2. 
Result so far: 6642.15452
Subtracting 1126 from 1650 leaves us with 524.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5240, and continue the process.

Step 13:
If we divide 5240 by 563, we get 9 and a remainder of 173.
The number 9 becomes the next digit in our result. 
Result so far: 6642.154529
The remainder is 173 after subtracting 5067 from 5240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1730, and continue the process.

Let's proceed to step 14:
563 goes into 1730 3 times with a remainder of 41.
The number 3 becomes the next digit in our result. 
Result so far: 6642.1545293
Subtracting 1689 from 1730 leaves us 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.

Advancing to step 15:
563 goes into 410 0 times with a remainder of 410.
The number 0 becomes the next digit in our result. 
Result so far: 6642.1545293
Subtracting 0 from 410 leaves us with 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4100, and continue the process.

The final result is 6642.1545293 with a remainder of 4.1e-07.