634297 ÷ 89 
We want to divide 634297 by 89.

Let's proceed to step 1:
6 divided by 89 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 89

Moving on to step 2:
If we divide 63 by 89, we get 0 and a remainder of 63.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 63 and we're left with 63.
Fetch the next digit (4) from the dividend, attach it to 63 and continue: 634 / 89

Going ahead to step 3:
89 can be fit into 634 7 times, resulting in a remainder of 11.
The next digit of our result is 7. 
Result so far: 7.0
Deduct 623 from 634 and we're left with 11.
Grab the next digit (2) from the dividend, add it to 11, then carry on: 112 / 89

Moving on to step 4:
The number 89 fits into 112 1 times, leaving a remainder of 23.
Record the quotient 1 as the next digit in the result. 
Result so far: 71.0
The remainder is 23 after subtracting 89 from 112.
Bring next digit (9) of the dividend behind the 23 and repeat the process: 239 / 89

Moving on to step 5:
The number 89 fits into 239 2 times, leaving a remainder of 61.
Record the quotient 2 as the next digit in the result. 
Result so far: 712.0
Subtract 178 from 239 to get 61.
Include the next digit (7) from the dividend after 61, then repeat: 617 / 89

Step 6:
When dividing 617 by 89, we get 6 with a remainder of 83.
The number 6 becomes the next digit in our result. 
Result so far: 7126.0
If we take 534 away from 617, we end up 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.

Going ahead to step 7:
The number 89 fits into 830 9 times, leaving a remainder of 29.
The number 9 becomes the next digit in our result. 
Result so far: 7126.9
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.
Put 3 as the next digit of the answer. 
Result so far: 7126.93
Deduct 267 from 290 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 9:
89 can be fit into 230 2 times, resulting in a remainder of 52.
Record the quotient 2 as the next digit in the result. 
Result so far: 7126.932
The remainder is 52 after subtracting 178 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 10:
89 goes into 520 5 times with a remainder of 75.
The number 5 becomes the next digit in our result. 
Result so far: 7126.9325
If we take 445 away from 520, we end up with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Moving on to step 11:
If we divide 750 by 89, we get 8 and a remainder of 38.
Record the quotient 8 as the next digit in the result. 
Result so far: 7126.93258
If we take 712 away from 750, we end up 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.

Advancing to step 12:
89 goes into 380 4 times with a remainder of 24.
Put 4 as the next digit of the answer. 
Result so far: 7126.932584
If we subtract 356 from 380, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 13:
If we divide 240 by 89, we get 2 and a remainder of 62.
Record the quotient 2 as the next digit in the result. 
Result so far: 7126.9325842
Subtracting 178 from 240 leaves us with 62.
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.
Record the quotient 6 as the next digit in the result. 
Result so far: 7126.93258426
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.

In conclusion, the division gives 7126.93258426 with a balance of 8.6e-08.