259142 ÷ 46 
We want to divide 259142 by 46.

Step 1:
The number 46 fits into 2 0 times, leaving a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 46

Moving on to step 2:
25 divided by 46 is 0 with a remainder of 25.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 25 leaves us with 25.
Bring next digit (9) of the dividend behind the 25 and repeat the process: 259 / 46

Advancing to step 3:
46 goes into 259 5 times with a remainder of 29.
The next digit of our result is 5. 
Result so far: 5.0
Subtract 230 from 259 to get 29.
Fetch the next digit (1) from the dividend, attach it to 29 and continue: 291 / 46

Step 4:
The number 46 fits into 291 6 times, leaving a remainder of 15.
Put 6 as the next digit of the answer. 
Result so far: 56.0
If we take 276 away from 291, we end up with 15.
Bring next digit (4) of the dividend behind the 15 and repeat the process: 154 / 46

Let's proceed to step 5:
If we divide 154 by 46, we get 3 and a remainder of 16.
The next digit of our result is 3. 
Result so far: 563.0
Subtracting 138 from 154 leaves us with 16.
Take the next digit (2) from the dividend and append it to 16, then repeat: 162 / 46

Going ahead to step 6:
162 divided by 46 is 3 with a remainder of 24.
Record the quotient 3 as the next digit in the result. 
Result so far: 5633.0
If we subtract 138 from 162, 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.

Going ahead to step 7:
240 divided by 46 is 5 with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 5633.5
Subtracting 230 from 240 leaves us with 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 8:
100 divided by 46 is 2 with a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 5633.52
Subtracting 92 from 100 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 9:
46 can be fit into 80 1 times, resulting in a remainder of 34.
Record the quotient 1 as the next digit in the result. 
Result so far: 5633.521
Subtract 46 from 80 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 10:
46 can be fit into 340 7 times, resulting in a remainder of 18.
Use 7 as the next digit of our solution. 
Result so far: 5633.5217
Deduct 322 from 340 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 11:
46 goes into 180 3 times with a remainder of 42.
The number 3 becomes the next digit in our result. 
Result so far: 5633.52173
Subtract 138 from 180 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 12:
The number 46 fits into 420 9 times, leaving a remainder of 6.
Record the quotient 9 as the next digit in the result. 
Result so far: 5633.521739
Deduct 414 from 420 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 13:
When dividing 60 by 46, we get 1 with a remainder of 14.
Write down 1 as next digit of the result. 
Result so far: 5633.5217391
If we subtract 46 from 60, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 14:
The number 46 fits into 140 3 times, leaving a remainder of 2.
The next digit of our result is 3. 
Result so far: 5633.52173913
Subtracting 138 from 140 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

In conclusion, the division gives 5633.52173913 with a balance of 2e-09.