We're dividing 6445573 by 963 
Our goal is to divide 6445573 by 963.

Moving on to step 1:
If we divide 6 by 963, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 963

Moving on to step 2:
64 divided by 963 is 0 with a remainder of 64.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 64 to get 64.
Take the next digit (4) from the dividend and append it to 64, then repeat: 644 / 963

Let's proceed to step 3:
963 can be fit into 644 0 times, resulting in a remainder of 644.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 644 leaves us with 644.
Grab the next digit (5) from the dividend, add it to 644, then carry on: 6445 / 963

Moving on to step 4:
963 can be fit into 6445 6 times, resulting in a remainder of 667.
The next digit of our result is 6. 
Result so far: 6.0
Deduct 5778 from 6445 and we're left with 667.
Take the next digit (5) from the dividend and append it to 667, then repeat: 6675 / 963

Step 5:
6675 divided by 963 is 6 with a remainder of 897.
The number 6 becomes the next digit in our result. 
Result so far: 66.0
If we take 5778 away from 6675, we end up with 897.
Take the next digit (7) from the dividend and append it to 897, then repeat: 8977 / 963

Advancing to step 6:
If we divide 8977 by 963, we get 9 and a remainder of 310.
Write down 9 as next digit of the result. 
Result so far: 669.0
Deduct 8667 from 8977 and we're left with 310.
Append the next digit (3) from the dividend to 310 and continue with: 3103 / 963

Step 7:
963 can be fit into 3103 3 times, resulting in a remainder of 214.
Put 3 as the next digit of the answer. 
Result so far: 6693.0
The remainder is 214 after subtracting 2889 from 3103.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2140, and continue the process.

Advancing to step 8:
When dividing 2140 by 963, we get 2 with a remainder of 214.
The next digit of our result is 2. 
Result so far: 6693.2
If we take 1926 away from 2140, we end up with 214.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2140, and continue the process.

On to step 9:
963 goes into 2140 2 times with a remainder of 214.
The number 2 becomes the next digit in our result. 
Result so far: 6693.22
Deduct 1926 from 2140 and we're left with 214.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2140, and continue the process.

The quotient of the division is 6693.22, and the remainder is 0.214.