We look at the division of 89341674 by 259 
We want to figure out the number of times 89341674 can be divided by 259.

Advancing to step 1:
8 divided by 259 is 0 with a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Append the next digit (9) from the dividend to 8 and continue with: 89 / 259

On to step 2:
259 goes into 89 0 times with a remainder of 89.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 89 leaves us with 89.
Bring next digit (3) of the dividend behind the 89 and repeat the process: 893 / 259

Moving on to step 3:
When dividing 893 by 259, we get 3 with a remainder of 116.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Subtracting 777 from 893 leaves us with 116.
Take the next digit (4) from the dividend and append it to 116, then repeat: 1164 / 259

Advancing to step 4:
If we divide 1164 by 259, we get 4 and a remainder of 128.
Record the quotient 4 as the next digit in the result. 
Result so far: 34.0
Subtract 1036 from 1164 to get 128.
Include the next digit (1) from the dividend after 128, then repeat: 1281 / 259

Moving on to step 5:
259 goes into 1281 4 times with a remainder of 245.
Use 4 as the next digit of our solution. 
Result so far: 344.0
Subtracting 1036 from 1281 leaves us with 245.
Take the next digit (6) from the dividend and append it to 245, then repeat: 2456 / 259

Moving on to step 6:
2456 divided by 259 is 9 with a remainder of 125.
Record the quotient 9 as the next digit in the result. 
Result so far: 3449.0
If we take 2331 away from 2456, we end up with 125.
Take the next digit (7) from the dividend and append it to 125, then repeat: 1257 / 259

On to step 7:
1257 divided by 259 is 4 with a remainder of 221.
The number 4 becomes the next digit in our result. 
Result so far: 34494.0
Subtract 1036 from 1257 to get 221.
Grab the next digit (4) from the dividend, add it to 221, then carry on: 2214 / 259

Going ahead to step 8:
When dividing 2214 by 259, we get 8 with a remainder of 142.
The number 8 becomes the next digit in our result. 
Result so far: 344948.0
Subtracting 2072 from 2214 leaves us with 142.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1420, and continue the process.

Let's proceed to step 9:
259 can be fit into 1420 5 times, resulting in a remainder of 125.
The number 5 becomes the next digit in our result. 
Result so far: 344948.5
Deduct 1295 from 1420 and we're left with 125.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1250, and continue the process.

On to step 10:
The number 259 fits into 1250 4 times, leaving a remainder of 214.
The next digit of our result is 4. 
Result so far: 344948.54
The remainder is 214 after subtracting 1036 from 1250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2140, and continue the process.

Advancing to step 11:
The number 259 fits into 2140 8 times, leaving a remainder of 68.
Put 8 as the next digit of the answer. 
Result so far: 344948.548
Subtract 2072 from 2140 to get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

On to step 12:
When dividing 680 by 259, we get 2 with a remainder of 162.
Use 2 as the next digit of our solution. 
Result so far: 344948.5482
Deduct 518 from 680 and we're left with 162.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1620, and continue the process.

Advancing to step 13:
When dividing 1620 by 259, we get 6 with a remainder of 66.
Put 6 as the next digit of the answer. 
Result so far: 344948.54826
Subtract 1554 from 1620 to get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Step 14:
660 divided by 259 is 2 with a remainder of 142.
Use 2 as the next digit of our solution. 
Result so far: 344948.548262
If we take 518 away from 660, we end up with 142.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1420, and continue the process.

Step 15:
The number 259 fits into 1420 5 times, leaving a remainder of 125.
Use 5 as the next digit of our solution. 
Result so far: 344948.5482625
If we subtract 1295 from 1420, we get 125.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1250, and continue the process.

Going ahead to step 16:
When dividing 1250 by 259, we get 4 with a remainder of 214.
Record the quotient 4 as the next digit in the result. 
Result so far: 344948.54826254
The remainder is 214 after subtracting 1036 from 1250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2140, and continue the process.

Our division results in 344948.54826254 with a remaining 2.14e-07.