We're dividing 644594 by 89 
We want to divide 644594 by 89.

Step 1:
89 goes into 6 0 times with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 89

Let's proceed to step 2:
If we divide 64 by 89, we get 0 and a remainder of 64.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 64 leaves us with 64.
Bring next digit (4) of the dividend behind the 64 and repeat the process: 644 / 89

Going ahead to step 3:
The number 89 fits into 644 7 times, leaving a remainder of 21.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtracting 623 from 644 leaves us with 21.
Append the next digit (5) from the dividend to 21 and continue with: 215 / 89

On to step 4:
215 divided by 89 is 2 with a remainder of 37.
Use 2 as the next digit of our solution. 
Result so far: 72.0
The remainder is 37 after subtracting 178 from 215.
Append the next digit (9) from the dividend to 37 and continue with: 379 / 89

Advancing to step 5:
When dividing 379 by 89, we get 4 with a remainder of 23.
Write down 4 as next digit of the result. 
Result so far: 724.0
If we take 356 away from 379, we end up with 23.
Fetch the next digit (4) from the dividend, attach it to 23 and continue: 234 / 89

Step 6:
When dividing 234 by 89, we get 2 with a remainder of 56.
The next digit of our result is 2. 
Result so far: 7242.0
If we subtract 178 from 234, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Advancing to step 7:
If we divide 560 by 89, we get 6 and a remainder of 26.
Write down 6 as next digit of the result. 
Result so far: 7242.6
Subtracting 534 from 560 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 8:
260 divided by 89 is 2 with a remainder of 82.
The number 2 becomes the next digit in our result. 
Result so far: 7242.62
Deduct 178 from 260 and we're left with 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Moving on to step 9:
The number 89 fits into 820 9 times, leaving a remainder of 19.
Write down 9 as next digit of the result. 
Result so far: 7242.629
If we subtract 801 from 820, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 10:
The number 89 fits into 190 2 times, leaving a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 7242.6292
Subtract 178 from 190 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 11:
The number 89 fits into 120 1 times, leaving a remainder of 31.
The next digit of our result is 1. 
Result so far: 7242.62921
Subtract 89 from 120 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 12:
310 divided by 89 is 3 with a remainder of 43.
Record the quotient 3 as the next digit in the result. 
Result so far: 7242.629213
Subtract 267 from 310 to get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Advancing to step 13:
When dividing 430 by 89, we get 4 with a remainder of 74.
Record the quotient 4 as the next digit in the result. 
Result so far: 7242.6292134
If we take 356 away from 430, we end up with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Step 14:
When dividing 740 by 89, we get 8 with a remainder of 28.
Put 8 as the next digit of the answer. 
Result so far: 7242.62921348
Deduct 712 from 740 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

The final result is 7242.62921348 with a remainder of 2.8e-08.