2589725 divided by 674 
We're looking to find how many times 674 goes into 2589725.

On to step 1:
674 goes into 2 0 times with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 674

Let's proceed to step 2:
When dividing 25 by 674, we get 0 with a remainder of 25.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 25 to get 25.
Include the next digit (8) from the dividend after 25, then repeat: 258 / 674

Moving on to step 3:
If we divide 258 by 674, we get 0 and a remainder of 258.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 258 to get 258.
Append the next digit (9) from the dividend to 258 and continue with: 2589 / 674

Moving on to step 4:
674 can be fit into 2589 3 times, resulting in a remainder of 567.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Deduct 2022 from 2589 and we're left with 567.
Append the next digit (7) from the dividend to 567 and continue with: 5677 / 674

Going ahead to step 5:
5677 divided by 674 is 8 with a remainder of 285.
Record the quotient 8 as the next digit in the result. 
Result so far: 38.0
If we take 5392 away from 5677, we end up with 285.
Grab the next digit (2) from the dividend, add it to 285, then carry on: 2852 / 674

Let's proceed to step 6:
When dividing 2852 by 674, we get 4 with a remainder of 156.
Put 4 as the next digit of the answer. 
Result so far: 384.0
If we take 2696 away from 2852, we end up with 156.
Fetch the next digit (5) from the dividend, attach it to 156 and continue: 1565 / 674

On to step 7:
1565 divided by 674 is 2 with a remainder of 217.
Put 2 as the next digit of the answer. 
Result so far: 3842.0
If we take 1348 away from 1565, we end up with 217.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2170, and continue the process.

Step 8:
674 goes into 2170 3 times with a remainder of 148.
Record the quotient 3 as the next digit in the result. 
Result so far: 3842.3
Deduct 2022 from 2170 and we're left with 148.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1480, and continue the process.

On to step 9:
674 can be fit into 1480 2 times, resulting in a remainder of 132.
Write down 2 as next digit of the result. 
Result so far: 3842.32
If we take 1348 away from 1480, we end up with 132.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1320, and continue the process.

Step 10:
1320 divided by 674 is 1 with a remainder of 646.
Use 1 as the next digit of our solution. 
Result so far: 3842.321
Subtract 674 from 1320 to get 646.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6460, and continue the process.

Step 11:
674 goes into 6460 9 times with a remainder of 394.
Use 9 as the next digit of our solution. 
Result so far: 3842.3219
Deduct 6066 from 6460 and we're left with 394.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3940, and continue the process.

On to step 12:
3940 divided by 674 is 5 with a remainder of 570.
The next digit of our result is 5. 
Result so far: 3842.32195
Subtract 3370 from 3940 to get 570.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5700, and continue the process.

Step 13:
When dividing 5700 by 674, we get 8 with a remainder of 308.
Write down 8 as next digit of the result. 
Result so far: 3842.321958
If we subtract 5392 from 5700, we get 308.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3080, and continue the process.

Going ahead to step 14:
674 can be fit into 3080 4 times, resulting in a remainder of 384.
Record the quotient 4 as the next digit in the result. 
Result so far: 3842.3219584
The remainder is 384 after subtracting 2696 from 3080.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3840, and continue the process.

Moving on to step 15:
3840 divided by 674 is 5 with a remainder of 470.
The number 5 becomes the next digit in our result. 
Result so far: 3842.32195845
If we take 3370 away from 3840, we end up with 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4700, and continue the process.

In conclusion, the division gives 3842.32195845 with a balance of 4.7e-07.