We look at the division of 966097 by 644 
Our goal is to divide 966097 by 644.

On to step 1:
644 can be fit into 9 0 times, resulting in a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Take the next digit (6) from the dividend and append it to 9, then repeat: 96 / 644

Moving on to step 2:
96 divided by 644 is 0 with a remainder of 96.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 96 leaves us with 96.
Bring next digit (6) of the dividend behind the 96 and repeat the process: 966 / 644

On to step 3:
The number 644 fits into 966 1 times, leaving a remainder of 322.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 644 from 966 and we're left with 322.
Grab the next digit (0) from the dividend, add it to 322, then carry on: 3220 / 644

Going ahead to step 4:
3220 divided by 644 is 5 with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 15.0
Subtract 3220 from 3220 to get 0.
Take the next digit (9) from the dividend and append it to 0, then repeat: 9 / 644

Let's proceed to step 5:
If we divide 9 by 644, we get 0 and a remainder of 9.
The next digit of our result is 0. 
Result so far: 150.0
If we take 0 away from 9, we end up with 9.
Append the next digit (7) from the dividend to 9 and continue with: 97 / 644

Advancing to step 6:
644 goes into 97 0 times with a remainder of 97.
Use 0 as the next digit of our solution. 
Result so far: 1500.0
Subtract 0 from 97 to get 97.
Since there are no more digits in the dividend, we add a zero to the remainder making it 970, and continue the process.

Step 7:
When dividing 970 by 644, we get 1 with a remainder of 326.
Record the quotient 1 as the next digit in the result. 
Result so far: 1500.1
If we subtract 644 from 970, we get 326.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3260, and continue the process.

Advancing to step 8:
3260 divided by 644 is 5 with a remainder of 40.
Use 5 as the next digit of our solution. 
Result so far: 1500.15
If we subtract 3220 from 3260, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 9:
When dividing 400 by 644, we get 0 with a remainder of 400.
The next digit of our result is 0. 
Result so far: 1500.15
If we take 0 away from 400, we end up with 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4000, and continue the process.

Going ahead to step 10:
644 can be fit into 4000 6 times, resulting in a remainder of 136.
Put 6 as the next digit of the answer. 
Result so far: 1500.1506
If we take 3864 away from 4000, we end up with 136.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1360, and continue the process.

Advancing to step 11:
The number 644 fits into 1360 2 times, leaving a remainder of 72.
Use 2 as the next digit of our solution. 
Result so far: 1500.15062
The remainder is 72 after subtracting 1288 from 1360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Step 12:
The number 644 fits into 720 1 times, leaving a remainder of 76.
Put 1 as the next digit of the answer. 
Result so far: 1500.150621
If we subtract 644 from 720, we get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

On to step 13:
If we divide 760 by 644, we get 1 and a remainder of 116.
The next digit of our result is 1. 
Result so far: 1500.1506211
Subtracting 644 from 760 leaves us with 116.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1160, and continue the process.

The final result is 1500.1506211 with a remainder of 1.16e-06.