3474573 divided by 259 
We want to figure out the number of times 3474573 can be divided by 259.

Advancing to step 1:
3 divided by 259 is 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 259

On to step 2:
34 divided by 259 is 0 with a remainder of 34.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 34 leaves us with 34.
Bring next digit (7) of the dividend behind the 34 and repeat the process: 347 / 259

On to step 3:
259 can be fit into 347 1 times, resulting in a remainder of 88.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 259 away from 347, we end up with 88.
Bring next digit (4) of the dividend behind the 88 and repeat the process: 884 / 259

Let's proceed to step 4:
The number 259 fits into 884 3 times, leaving a remainder of 107.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
Subtract 777 from 884 to get 107.
Include the next digit (5) from the dividend after 107, then repeat: 1075 / 259

Going ahead to step 5:
The number 259 fits into 1075 4 times, leaving a remainder of 39.
The number 4 becomes the next digit in our result. 
Result so far: 134.0
Subtracting 1036 from 1075 leaves us with 39.
Grab the next digit (7) from the dividend, add it to 39, then carry on: 397 / 259

Advancing to step 6:
If we divide 397 by 259, we get 1 and a remainder of 138.
The number 1 becomes the next digit in our result. 
Result so far: 1341.0
The remainder is 138 after subtracting 259 from 397.
Append the next digit (3) from the dividend to 138 and continue with: 1383 / 259

Let's proceed to step 7:
When dividing 1383 by 259, we get 5 with a remainder of 88.
Use 5 as the next digit of our solution. 
Result so far: 13415.0
Subtract 1295 from 1383 to get 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Step 8:
259 goes into 880 3 times with a remainder of 103.
Record the quotient 3 as the next digit in the result. 
Result so far: 13415.3
If we subtract 777 from 880, we get 103.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1030, and continue the process.

Advancing to step 9:
When dividing 1030 by 259, we get 3 with a remainder of 253.
The number 3 becomes the next digit in our result. 
Result so far: 13415.33
Subtract 777 from 1030 to get 253.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2530, and continue the process.

After the division, we end up with 13415.33 and a remainder of 0.253.