Let's divide 334917 by 89
Our goal is to divide 334917 by 89.

Step 1:
When dividing 3 by 89, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Grab the next digit (3) from the dividend, add it to 3, then carry on: 33 / 89

On to step 2:
When dividing 33 by 89, we get 0 with a remainder of 33.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 33 and we're left with 33.
Take the next digit (4) from the dividend and append it to 33, then repeat: 334 / 89

Going ahead to step 3:
When dividing 334 by 89, we get 3 with a remainder of 67.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Deduct 267 from 334 and we're left with 67.
Grab the next digit (9) from the dividend, add it to 67, then carry on: 679 / 89

Advancing to step 4:
89 can be fit into 679 7 times, resulting in a remainder of 56.
The next digit of our result is 7. 
Result so far: 37.0
Subtracting 623 from 679 leaves us with 56.
Grab the next digit (1) from the dividend, add it to 56, then carry on: 561 / 89

Let's proceed to step 5:
When dividing 561 by 89, we get 6 with a remainder of 27.
The number 6 becomes the next digit in our result. 
Result so far: 376.0
The remainder is 27 after subtracting 534 from 561.
Include the next digit (7) from the dividend after 27, then repeat: 277 / 89

Moving on to step 6:
If we divide 277 by 89, we get 3 and a remainder of 10.
Record the quotient 3 as the next digit in the result. 
Result so far: 3763.0
Subtract 267 from 277 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 7:
89 goes into 100 1 times with a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 3763.1
Subtract 89 from 100 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 8:
When dividing 110 by 89, we get 1 with a remainder of 21.
Put 1 as the next digit of the answer. 
Result so far: 3763.11
The remainder is 21 after subtracting 89 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

In conclusion, the division gives 3763.11 with a balance of 0.021.