7190025 divided by 642 
We want to divide 7190025 by 642.

Step 1:
When dividing 7 by 642, we get 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Grab the next digit (1) from the dividend, add it to 7, then carry on: 71 / 642

Moving on to step 2:
The number 642 fits into 71 0 times, leaving a remainder of 71.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 71 after subtracting 0 from 71.
Fetch the next digit (9) from the dividend, attach it to 71 and continue: 719 / 642

Let's proceed to step 3:
719 divided by 642 is 1 with a remainder of 77.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 642 from 719, we get 77.
Take the next digit (0) from the dividend and append it to 77, then repeat: 770 / 642

On to step 4:
If we divide 770 by 642, we get 1 and a remainder of 128.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
Subtract 642 from 770 to get 128.
Include the next digit (0) from the dividend after 128, then repeat: 1280 / 642

Let's proceed to step 5:
642 goes into 1280 1 times with a remainder of 638.
The next digit of our result is 1. 
Result so far: 111.0
Subtracting 642 from 1280 leaves us with 638.
Append the next digit (2) from the dividend to 638 and continue with: 6382 / 642

Let's proceed to step 6:
The number 642 fits into 6382 9 times, leaving a remainder of 604.
Record the quotient 9 as the next digit in the result. 
Result so far: 1119.0
If we subtract 5778 from 6382, we get 604.
Take the next digit (5) from the dividend and append it to 604, then repeat: 6045 / 642

Advancing to step 7:
642 goes into 6045 9 times with a remainder of 267.
Use 9 as the next digit of our solution. 
Result so far: 11199.0
Subtract 5778 from 6045 to get 267.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2670, and continue the process.

Advancing to step 8:
When dividing 2670 by 642, we get 4 with a remainder of 102.
The next digit of our result is 4. 
Result so far: 11199.4
Subtract 2568 from 2670 to get 102.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1020, and continue the process.

Moving on to step 9:
1020 divided by 642 is 1 with a remainder of 378.
Use 1 as the next digit of our solution. 
Result so far: 11199.41
If we take 642 away from 1020, we end up with 378.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3780, and continue the process.

Moving on to step 10:
If we divide 3780 by 642, we get 5 and a remainder of 570.
Record the quotient 5 as the next digit in the result. 
Result so far: 11199.415
Deduct 3210 from 3780 and we're left with 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 11:
If we divide 5700 by 642, we get 8 and a remainder of 564.
Use 8 as the next digit of our solution. 
Result so far: 11199.4158
If we take 5136 away from 5700, we end up with 564.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5640, and continue the process.

Let's proceed to step 12:
If we divide 5640 by 642, we get 8 and a remainder of 504.
Write down 8 as next digit of the result. 
Result so far: 11199.41588
If we take 5136 away from 5640, we end up with 504.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5040, and continue the process.

Our division results in 11199.41588 with a remaining 0.000504.