137978 ÷ 88 
We want to divide 137978 by 88.

Advancing to step 1:
When dividing 1 by 88, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 88

On to step 2:
The number 88 fits into 13 0 times, leaving 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.
Bring next digit (7) of the dividend behind the 13 and repeat the process: 137 / 88

Step 3:
The number 88 fits into 137 1 times, leaving a remainder of 49.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 49 after subtracting 88 from 137.
Fetch the next digit (9) from the dividend, attach it to 49 and continue: 499 / 88

Going ahead to step 4:
88 goes into 499 5 times with a remainder of 59.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
The remainder is 59 after subtracting 440 from 499.
Take the next digit (7) from the dividend and append it to 59, then repeat: 597 / 88

Moving on to step 5:
When dividing 597 by 88, we get 6 with a remainder of 69.
The number 6 becomes the next digit in our result. 
Result so far: 156.0
If we take 528 away from 597, we end up with 69.
Bring next digit (8) of the dividend behind the 69 and repeat the process: 698 / 88

Let's proceed to step 6:
When dividing 698 by 88, we get 7 with a remainder of 82.
Write down 7 as next digit of the result. 
Result so far: 1567.0
Subtracting 616 from 698 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.

Let's proceed to step 7:
If we divide 820 by 88, we get 9 and a remainder of 28.
The number 9 becomes the next digit in our result. 
Result so far: 1567.9
If we take 792 away from 820, we end up 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.

On to step 8:
If we divide 280 by 88, we get 3 and a remainder of 16.
Write down 3 as next digit of the result. 
Result so far: 1567.93
Subtracting 264 from 280 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 9:
If we divide 160 by 88, we get 1 and a remainder of 72.
Put 1 as the next digit of the answer. 
Result so far: 1567.931
Subtracting 88 from 160 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Advancing to step 10:
When dividing 720 by 88, we get 8 with a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 1567.9318
The remainder is 16 after subtracting 704 from 720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 11:
88 goes into 160 1 times with a remainder of 72.
Write down 1 as next digit of the result. 
Result so far: 1567.93181
Subtracting 88 from 160 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Moving on to step 12:
When dividing 720 by 88, we get 8 with a remainder of 16.
Write down 8 as next digit of the result. 
Result so far: 1567.931818
If we take 704 away from 720, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 13:
160 divided by 88 is 1 with a remainder of 72.
Write down 1 as next digit of the result. 
Result so far: 1567.9318181
If we take 88 away from 160, we end up with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Moving on to step 14:
88 can be fit into 720 8 times, resulting in a remainder of 16.
Write down 8 as next digit of the result. 
Result so far: 1567.93181818
If we take 704 away from 720, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

In conclusion, the division gives 1567.93181818 with a balance of 1.6e-08.