We look at the division of 150298 by 59 
Our goal is to divide 150298 by 59.

Let's proceed to step 1:
When dividing 1 by 59, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (5) from the dividend to 1 and continue with: 15 / 59

Advancing to step 2:
59 goes into 15 0 times with a remainder of 15.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 15 leaves us with 15.
Append the next digit (0) from the dividend to 15 and continue with: 150 / 59

On to step 3:
When dividing 150 by 59, we get 2 with a remainder of 32.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtract 118 from 150 to get 32.
Grab the next digit (2) from the dividend, add it to 32, then carry on: 322 / 59

On to step 4:
322 divided by 59 is 5 with a remainder of 27.
Put 5 as the next digit of the answer. 
Result so far: 25.0
Subtract 295 from 322 to get 27.
Fetch the next digit (9) from the dividend, attach it to 27 and continue: 279 / 59

Going ahead to step 5:
279 divided by 59 is 4 with a remainder of 43.
Record the quotient 4 as the next digit in the result. 
Result so far: 254.0
Deduct 236 from 279 and we're left with 43.
Include the next digit (8) from the dividend after 43, then repeat: 438 / 59

Advancing to step 6:
If we divide 438 by 59, we get 7 and a remainder of 25.
The number 7 becomes the next digit in our result. 
Result so far: 2547.0
Deduct 413 from 438 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.

Going ahead to step 7:
When dividing 250 by 59, we get 4 with a remainder of 14.
Write down 4 as next digit of the result. 
Result so far: 2547.4
The remainder is 14 after subtracting 236 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 8:
59 goes into 140 2 times with a remainder of 22.
The next digit of our result is 2. 
Result so far: 2547.42
If we take 118 away from 140, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 9:
59 can be fit into 220 3 times, resulting in a remainder of 43.
Use 3 as the next digit of our solution. 
Result so far: 2547.423
If we take 177 away from 220, we end up with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Step 10:
59 can be fit into 430 7 times, resulting in a remainder of 17.
Use 7 as the next digit of our solution. 
Result so far: 2547.4237
Subtracting 413 from 430 leaves us 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.

Advancing to step 11:
The number 59 fits into 170 2 times, leaving a remainder of 52.
The next digit of our result is 2. 
Result so far: 2547.42372
Deduct 118 from 170 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 12:
If we divide 520 by 59, we get 8 and a remainder of 48.
Put 8 as the next digit of the answer. 
Result so far: 2547.423728
If we take 472 away from 520, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Advancing to step 13:
When dividing 480 by 59, we get 8 with a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 2547.4237288
Deduct 472 from 480 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.

In conclusion, the division gives 2547.4237288 with a balance of 8e-08.