625679 divided by 44 
We want to divide 625679 by 44.

On to step 1:
If we divide 6 by 44, 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.
Take the next digit (2) from the dividend and append it to 6, then repeat: 62 / 44

Going ahead to step 2:
The number 44 fits into 62 1 times, leaving a remainder of 18.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 44 from 62 to get 18.
Grab the next digit (5) from the dividend, add it to 18, then carry on: 185 / 44

Advancing to step 3:
When dividing 185 by 44, we get 4 with a remainder of 9.
Write down 4 as next digit of the result. 
Result so far: 14.0
The remainder is 9 after subtracting 176 from 185.
Take the next digit (6) from the dividend and append it to 9, then repeat: 96 / 44

Step 4:
The number 44 fits into 96 2 times, leaving a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 142.0
Subtract 88 from 96 to get 8.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 44

Step 5:
The number 44 fits into 87 1 times, leaving a remainder of 43.
Put 1 as the next digit of the answer. 
Result so far: 1421.0
Subtract 44 from 87 to get 43.
Include the next digit (9) from the dividend after 43, then repeat: 439 / 44

Let's proceed to step 6:
The number 44 fits into 439 9 times, leaving a remainder of 43.
Write down 9 as next digit of the result. 
Result so far: 14219.0
The remainder is 43 after subtracting 396 from 439.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Going ahead to step 7:
If we divide 430 by 44, we get 9 and a remainder of 34.
Write down 9 as next digit of the result. 
Result so far: 14219.9
If we take 396 away from 430, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 8:
When dividing 340 by 44, we get 7 with a remainder of 32.
Put 7 as the next digit of the answer. 
Result so far: 14219.97
If we take 308 away from 340, we end up with 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:
44 goes into 320 7 times with a remainder of 12.
Record the quotient 7 as the next digit in the result. 
Result so far: 14219.977
Subtract 308 from 320 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.

The quotient of the division is 14219.977, and the remainder is 0.0012.