We're dividing 137828 by 42 
We want to figure out the number of times 137828 can be divided by 42.

Moving on to step 1:
1 divided by 42 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 42

On to step 2:
If we divide 13 by 42, we get 0 and a remainder of 13.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 13 and we're left with 13.
Fetch the next digit (7) from the dividend, attach it to 13 and continue: 137 / 42

Going ahead to step 3:
137 divided by 42 is 3 with a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Subtract 126 from 137 to get 11.
Take the next digit (8) from the dividend and append it to 11, then repeat: 118 / 42

Step 4:
When dividing 118 by 42, we get 2 with a remainder of 34.
Put 2 as the next digit of the answer. 
Result so far: 32.0
Subtract 84 from 118 to get 34.
Take the next digit (2) from the dividend and append it to 34, then repeat: 342 / 42

Let's proceed to step 5:
42 can be fit into 342 8 times, resulting in a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 328.0
Deduct 336 from 342 and we're left with 6.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 42

Let's proceed to step 6:
When dividing 68 by 42, we get 1 with a remainder of 26.
Record the quotient 1 as the next digit in the result. 
Result so far: 3281.0
Deduct 42 from 68 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 7:
When dividing 260 by 42, we get 6 with a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 3281.6
Subtracting 252 from 260 leaves us with 8.
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 8:
80 divided by 42 is 1 with a remainder of 38.
Record the quotient 1 as the next digit in the result. 
Result so far: 3281.61
The remainder is 38 after subtracting 42 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 9:
380 divided by 42 is 9 with a remainder of 2.
The number 9 becomes the next digit in our result. 
Result so far: 3281.619
If we take 378 away from 380, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 10:
20 divided by 42 is 0 with a remainder of 20.
The next digit of our result is 0. 
Result so far: 3281.619
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 11:
42 goes into 200 4 times with a remainder of 32.
Use 4 as the next digit of our solution. 
Result so far: 3281.61904
If we subtract 168 from 200, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 12:
42 goes into 320 7 times with a remainder of 26.
The number 7 becomes the next digit in our result. 
Result so far: 3281.619047
The remainder is 26 after subtracting 294 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 13:
42 goes into 260 6 times with a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 3281.6190476
Deduct 252 from 260 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 14:
42 can be fit into 80 1 times, resulting in a remainder of 38.
The number 1 becomes the next digit in our result. 
Result so far: 3281.61904761
Deduct 42 from 80 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

The quotient of the division is 3281.61904761, and the remainder is 3.8e-08.