We divide 353789 by 137
Our goal is to divide 353789 by 137.

Advancing to step 1:
If we divide 3 by 137, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 137

On to step 2:
When dividing 35 by 137, we get 0 with a remainder of 35.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 35 and we're left with 35.
Take the next digit (3) from the dividend and append it to 35, then repeat: 353 / 137

Moving on to step 3:
137 goes into 353 2 times with a remainder of 79.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtracting 274 from 353 leaves us with 79.
Include the next digit (7) from the dividend after 79, then repeat: 797 / 137

Advancing to step 4:
When dividing 797 by 137, we get 5 with a remainder of 112.
Write down 5 as next digit of the result. 
Result so far: 25.0
Subtract 685 from 797 to get 112.
Grab the next digit (8) from the dividend, add it to 112, then carry on: 1128 / 137

Going ahead to step 5:
1128 divided by 137 is 8 with a remainder of 32.
Put 8 as the next digit of the answer. 
Result so far: 258.0
If we take 1096 away from 1128, we end up with 32.
Fetch the next digit (9) from the dividend, attach it to 32 and continue: 329 / 137

Step 6:
137 can be fit into 329 2 times, resulting in a remainder of 55.
Use 2 as the next digit of our solution. 
Result so far: 2582.0
Subtracting 274 from 329 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

On to step 7:
The number 137 fits into 550 4 times, leaving a remainder of 2.
The next digit of our result is 4. 
Result so far: 2582.4
The remainder is 2 after subtracting 548 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 8:
137 goes into 20 0 times with a remainder of 20.
The next digit of our result is 0. 
Result so far: 2582.4
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 9:
When dividing 200 by 137, we get 1 with a remainder of 63.
Put 1 as the next digit of the answer. 
Result so far: 2582.401
The remainder is 63 after subtracting 137 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Step 10:
The number 137 fits into 630 4 times, leaving a remainder of 82.
Write down 4 as next digit of the result. 
Result so far: 2582.4014
Subtracting 548 from 630 leaves us with 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

On to step 11:
The number 137 fits into 820 5 times, leaving a remainder of 135.
Write down 5 as next digit of the result. 
Result so far: 2582.40145
If we take 685 away from 820, we end up with 135.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1350, and continue the process.

Going ahead to step 12:
137 can be fit into 1350 9 times, resulting in a remainder of 117.
The number 9 becomes the next digit in our result. 
Result so far: 2582.401459
If we subtract 1233 from 1350, we get 117.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1170, and continue the process.

Let's proceed to step 13:
The number 137 fits into 1170 8 times, leaving a remainder of 74.
Record the quotient 8 as the next digit in the result. 
Result so far: 2582.4014598
Deduct 1096 from 1170 and we're left with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Step 14:
If we divide 740 by 137, we get 5 and a remainder of 55.
The number 5 becomes the next digit in our result. 
Result so far: 2582.40145985
Subtracting 685 from 740 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

After the division, we end up with 2582.40145985 and a remainder of 5.5e-08.