We divide 634564 by 89
We're looking to find how many times 89 goes into 634564.

Moving on to 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
If we take 0 away from 6, we end up with 6.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 89

Advancing to step 2:
89 goes into 63 0 times with a remainder of 63.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 63 to get 63.
Bring next digit (4) of the dividend behind the 63 and repeat the process: 634 / 89

Moving on to step 3:
89 goes into 634 7 times with a remainder of 11.
The next digit of our result is 7. 
Result so far: 7.0
If we subtract 623 from 634, we get 11.
Include the next digit (5) from the dividend after 11, then repeat: 115 / 89

Let's proceed to step 4:
The number 89 fits into 115 1 times, leaving a remainder of 26.
Use 1 as the next digit of our solution. 
Result so far: 71.0
Subtract 89 from 115 to get 26.
Append the next digit (6) from the dividend to 26 and continue with: 266 / 89

On to step 5:
266 divided by 89 is 2 with a remainder of 88.
Use 2 as the next digit of our solution. 
Result so far: 712.0
The remainder is 88 after subtracting 178 from 266.
Fetch the next digit (4) from the dividend, attach it to 88 and continue: 884 / 89

Moving on to step 6:
If we divide 884 by 89, we get 9 and a remainder of 83.
Use 9 as the next digit of our solution. 
Result so far: 7129.0
Deduct 801 from 884 and we're left with 83.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

Advancing to step 7:
89 goes into 830 9 times with a remainder of 29.
Put 9 as the next digit of the answer. 
Result so far: 7129.9
Subtract 801 from 830 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Let's proceed to step 8:
89 can be fit into 290 3 times, resulting in a remainder of 23.
Record the quotient 3 as the next digit in the result. 
Result so far: 7129.93
The remainder is 23 after subtracting 267 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 9:
230 divided by 89 is 2 with a remainder of 52.
Record the quotient 2 as the next digit in the result. 
Result so far: 7129.932
If we subtract 178 from 230, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 10:
89 can be fit into 520 5 times, resulting in a remainder of 75.
Use 5 as the next digit of our solution. 
Result so far: 7129.9325
If we subtract 445 from 520, we get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Going ahead to step 11:
When dividing 750 by 89, we get 8 with a remainder of 38.
Use 8 as the next digit of our solution. 
Result so far: 7129.93258
Deduct 712 from 750 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 12:
If we divide 380 by 89, we get 4 and a remainder of 24.
Use 4 as the next digit of our solution. 
Result so far: 7129.932584
If we take 356 away from 380, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 13:
The number 89 fits into 240 2 times, leaving a remainder of 62.
The number 2 becomes the next digit in our result. 
Result so far: 7129.9325842
The remainder is 62 after subtracting 178 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Moving on to step 14:
89 can be fit into 620 6 times, resulting in a remainder of 86.
Put 6 as the next digit of the answer. 
Result so far: 7129.93258426
The remainder is 86 after subtracting 534 from 620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

The quotient of the division is 7129.93258426, and the remainder is 8.6e-08.