We're dividing 25669073 by 674 
We want to figure out the number of times 25669073 can be divided by 674.

Going ahead to step 1:
The number 674 fits into 2 0 times, leaving a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 674

Going ahead to step 2:
When dividing 25 by 674, we get 0 with a remainder of 25.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 25, we end up with 25.
Take the next digit (6) from the dividend and append it to 25, then repeat: 256 / 674

Moving on to step 3:
The number 674 fits into 256 0 times, leaving a remainder of 256.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 256 after subtracting 0 from 256.
Include the next digit (6) from the dividend after 256, then repeat: 2566 / 674

Advancing to step 4:
When dividing 2566 by 674, we get 3 with a remainder of 544.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Subtracting 2022 from 2566 leaves us with 544.
Bring next digit (9) of the dividend behind the 544 and repeat the process: 5449 / 674

Advancing to step 5:
The number 674 fits into 5449 8 times, leaving a remainder of 57.
Put 8 as the next digit of the answer. 
Result so far: 38.0
If we subtract 5392 from 5449, we get 57.
Include the next digit (0) from the dividend after 57, then repeat: 570 / 674

Step 6:
If we divide 570 by 674, we get 0 and a remainder of 570.
Use 0 as the next digit of our solution. 
Result so far: 380.0
If we take 0 away from 570, we end up with 570.
Fetch the next digit (7) from the dividend, attach it to 570 and continue: 5707 / 674

Advancing to step 7:
If we divide 5707 by 674, we get 8 and a remainder of 315.
Write down 8 as next digit of the result. 
Result so far: 3808.0
Deduct 5392 from 5707 and we're left with 315.
Fetch the next digit (3) from the dividend, attach it to 315 and continue: 3153 / 674

Going ahead to step 8:
3153 divided by 674 is 4 with a remainder of 457.
Record the quotient 4 as the next digit in the result. 
Result so far: 38084.0
Deduct 2696 from 3153 and we're left with 457.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4570, and continue the process.

Step 9:
The number 674 fits into 4570 6 times, leaving a remainder of 526.
Record the quotient 6 as the next digit in the result. 
Result so far: 38084.6
Subtract 4044 from 4570 to get 526.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5260, and continue the process.

Let's proceed to step 10:
674 can be fit into 5260 7 times, resulting in a remainder of 542.
Record the quotient 7 as the next digit in the result. 
Result so far: 38084.67
If we take 4718 away from 5260, we end up with 542.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5420, and continue the process.

Advancing to step 11:
If we divide 5420 by 674, we get 8 and a remainder of 28.
The next digit of our result is 8. 
Result so far: 38084.678
If we take 5392 away from 5420, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 12:
The number 674 fits into 280 0 times, leaving a remainder of 280.
Record the quotient 0 as the next digit in the result. 
Result so far: 38084.678
Subtracting 0 from 280 leaves us with 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2800, and continue the process.

Step 13:
674 goes into 2800 4 times with a remainder of 104.
Record the quotient 4 as the next digit in the result. 
Result so far: 38084.67804
Deduct 2696 from 2800 and we're left with 104.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1040, and continue the process.

Moving on to step 14:
If we divide 1040 by 674, we get 1 and a remainder of 366.
Put 1 as the next digit of the answer. 
Result so far: 38084.678041
If we take 674 away from 1040, we end up with 366.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3660, and continue the process.

On to step 15:
The number 674 fits into 3660 5 times, leaving a remainder of 290.
Put 5 as the next digit of the answer. 
Result so far: 38084.6780415
Subtracting 3370 from 3660 leaves us with 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2900, and continue the process.

Step 16:
When dividing 2900 by 674, we get 4 with a remainder of 204.
The number 4 becomes the next digit in our result. 
Result so far: 38084.67804154
Deduct 2696 from 2900 and we're left with 204.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2040, and continue the process.

The quotient of the division is 38084.67804154, and the remainder is 2.04e-07.