We're dividing 7511 by 38 
We want to figure out the number of times 7511 can be divided by 38.

Step 1:
If we divide 7 by 38, we get 0 and a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Grab the next digit (5) from the dividend, add it to 7, then carry on: 75 / 38

Moving on to step 2:
If we divide 75 by 38, we get 1 and a remainder of 37.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 38 from 75 leaves us with 37.
Append the next digit (1) from the dividend to 37 and continue with: 371 / 38

Step 3:
When dividing 371 by 38, we get 9 with a remainder of 29.
Put 9 as the next digit of the answer. 
Result so far: 19.0
Subtract 342 from 371 to get 29.
Append the next digit (1) from the dividend to 29 and continue with: 291 / 38

Let's proceed to step 4:
The number 38 fits into 291 7 times, leaving a remainder of 25.
The next digit of our result is 7. 
Result so far: 197.0
Deduct 266 from 291 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 5:
38 can be fit into 250 6 times, resulting in a remainder of 22.
The next digit of our result is 6. 
Result so far: 197.6
If we subtract 228 from 250, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 6:
38 can be fit into 220 5 times, resulting in a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 197.65
If we take 190 away from 220, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 7:
38 goes into 300 7 times with a remainder of 34.
The number 7 becomes the next digit in our result. 
Result so far: 197.657
If we subtract 266 from 300, we 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.

Going ahead to step 8:
When dividing 340 by 38, we get 8 with a remainder of 36.
The next digit of our result is 8. 
Result so far: 197.6578
Subtracting 304 from 340 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 9:
38 can be fit into 360 9 times, resulting in a remainder of 18.
The next digit of our result is 9. 
Result so far: 197.65789
If we subtract 342 from 360, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 10:
180 divided by 38 is 4 with a remainder of 28.
The number 4 becomes the next digit in our result. 
Result so far: 197.657894
Deduct 152 from 180 and we're left 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.

Step 11:
38 can be fit into 280 7 times, resulting in a remainder of 14.
Use 7 as the next digit of our solution. 
Result so far: 197.6578947
Subtracting 266 from 280 leaves us with 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 12:
38 goes into 140 3 times with a remainder of 26.
Record the quotient 3 as the next digit in the result. 
Result so far: 197.65789473
The remainder is 26 after subtracting 114 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The quotient of the division is 197.65789473, and the remainder is 2.6e-08.