61043 ÷ 63 
Our goal is to divide 61043 by 63.

Advancing to step 1:
The number 63 fits into 6 0 times, leaving a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Take the next digit (1) from the dividend and append it to 6, then repeat: 61 / 63

Going ahead to step 2:
63 can be fit into 61 0 times, resulting in a remainder of 61.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 61, we end up with 61.
Take the next digit (0) from the dividend and append it to 61, then repeat: 610 / 63

Let's proceed to step 3:
If we divide 610 by 63, we get 9 and a remainder of 43.
The next digit of our result is 9. 
Result so far: 9.0
If we take 567 away from 610, we end up with 43.
Include the next digit (4) from the dividend after 43, then repeat: 434 / 63

Let's proceed to step 4:
434 divided by 63 is 6 with a remainder of 56.
Record the quotient 6 as the next digit in the result. 
Result so far: 96.0
Subtract 378 from 434 to get 56.
Take the next digit (3) from the dividend and append it to 56, then repeat: 563 / 63

Let's proceed to step 5:
563 divided by 63 is 8 with a remainder of 59.
Record the quotient 8 as the next digit in the result. 
Result so far: 968.0
The remainder is 59 after subtracting 504 from 563.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

On to step 6:
The number 63 fits into 590 9 times, leaving a remainder of 23.
Put 9 as the next digit of the answer. 
Result so far: 968.9
Subtract 567 from 590 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 7:
The number 63 fits into 230 3 times, leaving a remainder of 41.
The next digit of our result is 3. 
Result so far: 968.93
Subtract 189 from 230 to get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Step 8:
63 goes into 410 6 times with a remainder of 32.
The next digit of our result is 6. 
Result so far: 968.936
Subtract 378 from 410 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 9:
When dividing 320 by 63, we get 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 968.9365
Subtract 315 from 320 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 10:
If we divide 50 by 63, we get 0 and a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 968.9365
Deduct 0 from 50 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 11:
500 divided by 63 is 7 with a remainder of 59.
Use 7 as the next digit of our solution. 
Result so far: 968.936507
If we take 441 away from 500, we end up with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Let's proceed to step 12:
The number 63 fits into 590 9 times, leaving a remainder of 23.
The number 9 becomes the next digit in our result. 
Result so far: 968.9365079
Subtracting 567 from 590 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 13:
The number 63 fits into 230 3 times, leaving a remainder of 41.
Put 3 as the next digit of the answer. 
Result so far: 968.93650793
Deduct 189 from 230 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.

The quotient of the division is 968.93650793, and the remainder is 4.1e-08.