629 divided by 89 
Let's see how many times 89 fits into 629.

Step 1:
The number 89 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
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 / 89

Advancing to step 2:
62 divided by 89 is 0 with a remainder of 62.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 62 leaves us with 62.
Grab the next digit (9) from the dividend, add it to 62, then carry on: 629 / 89

Let's proceed to step 3:
If we divide 629 by 89, we get 7 and a remainder of 6.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Subtract 623 from 629 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 4:
89 can be fit into 60 0 times, resulting in a remainder of 60.
Record the quotient 0 as the next digit in the result. 
Result so far: 7.0
If we subtract 0 from 60, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 5:
600 divided by 89 is 6 with a remainder of 66.
The next digit of our result is 6. 
Result so far: 7.06
Subtracting 534 from 600 leaves us with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Going ahead to step 6:
89 goes into 660 7 times with a remainder of 37.
Put 7 as the next digit of the answer. 
Result so far: 7.067
The remainder is 37 after subtracting 623 from 660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Going ahead to step 7:
89 goes into 370 4 times with a remainder of 14.
The next digit of our result is 4. 
Result so far: 7.0674
The remainder is 14 after subtracting 356 from 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 8:
When dividing 140 by 89, we get 1 with a remainder of 51.
The number 1 becomes the next digit in our result. 
Result so far: 7.06741
If we subtract 89 from 140, we get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Let's proceed to step 9:
When dividing 510 by 89, we get 5 with a remainder of 65.
The next digit of our result is 5. 
Result so far: 7.067415
The remainder is 65 after subtracting 445 from 510.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Step 10:
89 goes into 650 7 times with a remainder of 27.
Use 7 as the next digit of our solution. 
Result so far: 7.0674157
Deduct 623 from 650 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 11:
89 can be fit into 270 3 times, resulting in a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 7.06741573
If we subtract 267 from 270, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The quotient of the division is 7.06741573, and the remainder is 3e-09.