133739 ÷ 19 
Our goal is to divide 133739 by 19.

Moving on to step 1:
1 divided by 19 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 19

Moving on to step 2:
When dividing 13 by 19, we get 0 with a remainder of 13.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 13 after subtracting 0 from 13.
Include the next digit (3) from the dividend after 13, then repeat: 133 / 19

On to step 3:
133 divided by 19 is 7 with a remainder of 0.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Subtracting 133 from 133 leaves us with 0.
Append the next digit (7) from the dividend to 0 and continue with: 7 / 19

Let's proceed to step 4:
The number 19 fits into 7 0 times, leaving a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 70.0
Subtracting 0 from 7 leaves us with 7.
Grab the next digit (3) from the dividend, add it to 7, then carry on: 73 / 19

Advancing to step 5:
19 goes into 73 3 times with a remainder of 16.
The next digit of our result is 3. 
Result so far: 703.0
Subtracting 57 from 73 leaves us with 16.
Bring next digit (9) of the dividend behind the 16 and repeat the process: 169 / 19

Let's proceed to step 6:
19 can be fit into 169 8 times, resulting in a remainder of 17.
The next digit of our result is 8. 
Result so far: 7038.0
If we take 152 away from 169, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 7:
The number 19 fits into 170 8 times, leaving a remainder of 18.
The number 8 becomes the next digit in our result. 
Result so far: 7038.8
Subtracting 152 from 170 leaves us 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 8:
The number 19 fits into 180 9 times, leaving a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 7038.89
If we take 171 away from 180, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 9:
90 divided by 19 is 4 with a remainder of 14.
Record the quotient 4 as the next digit in the result. 
Result so far: 7038.894
The remainder is 14 after subtracting 76 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 10:
140 divided by 19 is 7 with a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 7038.8947
The remainder is 7 after subtracting 133 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 11:
19 goes into 70 3 times with a remainder of 13.
Record the quotient 3 as the next digit in the result. 
Result so far: 7038.89473
Subtracting 57 from 70 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 12:
19 goes into 130 6 times with a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 7038.894736
If we subtract 114 from 130, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 13:
When dividing 160 by 19, we get 8 with a remainder of 8.
The next digit of our result is 8. 
Result so far: 7038.8947368
The remainder is 8 after subtracting 152 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 14:
19 goes into 80 4 times with a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 7038.89473684
Subtracting 76 from 80 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 7038.89473684, and the remainder is 4e-09.