55497 ÷ 34 
We're looking to find how many times 34 goes into 55497.

Step 1:
34 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 34

On to step 2:
The number 34 fits into 55 1 times, leaving a remainder of 21.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 21 after subtracting 34 from 55.
Take the next digit (4) from the dividend and append it to 21, then repeat: 214 / 34

Moving on to step 3:
34 can be fit into 214 6 times, resulting in a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
If we subtract 204 from 214, we get 10.
Bring next digit (9) of the dividend behind the 10 and repeat the process: 109 / 34

Step 4:
34 goes into 109 3 times with a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 163.0
The remainder is 7 after subtracting 102 from 109.
Append the next digit (7) from the dividend to 7 and continue with: 77 / 34

Step 5:
If we divide 77 by 34, we get 2 and a remainder of 9.
The number 2 becomes the next digit in our result. 
Result so far: 1632.0
Deduct 68 from 77 and we're left 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.

Advancing to step 6:
90 divided by 34 is 2 with a remainder of 22.
Use 2 as the next digit of our solution. 
Result so far: 1632.2
Subtracting 68 from 90 leaves us 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.

Moving on to step 7:
220 divided by 34 is 6 with a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 1632.26
If we subtract 204 from 220, 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.

On to step 8:
When dividing 160 by 34, we get 4 with a remainder of 24.
Record the quotient 4 as the next digit in the result. 
Result so far: 1632.264
The remainder is 24 after subtracting 136 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 9:
34 can be fit into 240 7 times, resulting in a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 1632.2647
The remainder is 2 after subtracting 238 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 10:
20 divided by 34 is 0 with a remainder of 20.
The next digit of our result is 0. 
Result so far: 1632.2647
Deduct 0 from 20 and we're left 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.

Going ahead to step 11:
200 divided by 34 is 5 with a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 1632.264705
If we subtract 170 from 200, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 12:
If we divide 300 by 34, we get 8 and a remainder of 28.
Write down 8 as next digit of the result. 
Result so far: 1632.2647058
Subtracting 272 from 300 leaves us 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 13:
34 goes into 280 8 times with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 1632.26470588
If we take 272 away from 280, we end up 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.

The quotient of the division is 1632.26470588, and the remainder is 8e-09.