We're dividing 6590980 by 174 
We're looking to find how many times 174 goes into 6590980.

Step 1:
6 divided by 174 is 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Take the next digit (5) from the dividend and append it to 6, then repeat: 65 / 174

Let's proceed to step 2:
When dividing 65 by 174, we get 0 with a remainder of 65.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 65, we get 65.
Take the next digit (9) from the dividend and append it to 65, then repeat: 659 / 174

Moving on to step 3:
If we divide 659 by 174, we get 3 and a remainder of 137.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Subtract 522 from 659 to get 137.
Include the next digit (0) from the dividend after 137, then repeat: 1370 / 174

Advancing to step 4:
If we divide 1370 by 174, we get 7 and a remainder of 152.
Use 7 as the next digit of our solution. 
Result so far: 37.0
If we subtract 1218 from 1370, we get 152.
Grab the next digit (9) from the dividend, add it to 152, then carry on: 1529 / 174

Let's proceed to step 5:
The number 174 fits into 1529 8 times, leaving a remainder of 137.
Put 8 as the next digit of the answer. 
Result so far: 378.0
Subtract 1392 from 1529 to get 137.
Take the next digit (8) from the dividend and append it to 137, then repeat: 1378 / 174

Going ahead to step 6:
The number 174 fits into 1378 7 times, leaving a remainder of 160.
The next digit of our result is 7. 
Result so far: 3787.0
Subtracting 1218 from 1378 leaves us with 160.
Append the next digit (0) from the dividend to 160 and continue with: 1600 / 174

Moving on to step 7:
1600 divided by 174 is 9 with a remainder of 34.
Record the quotient 9 as the next digit in the result. 
Result so far: 37879.0
If we take 1566 away from 1600, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 8:
If we divide 340 by 174, we get 1 and a remainder of 166.
Put 1 as the next digit of the answer. 
Result so far: 37879.1
Deduct 174 from 340 and we're left with 166.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1660, and continue the process.

Advancing to step 9:
174 can be fit into 1660 9 times, resulting in a remainder of 94.
The number 9 becomes the next digit in our result. 
Result so far: 37879.19
Subtract 1566 from 1660 to get 94.
Since there are no more digits in the dividend, we add a zero to the remainder making it 940, and continue the process.

Moving on to step 10:
The number 174 fits into 940 5 times, leaving a remainder of 70.
Put 5 as the next digit of the answer. 
Result so far: 37879.195
If we take 870 away from 940, we end up with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Moving on to step 11:
When dividing 700 by 174, we get 4 with a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 37879.1954
If we subtract 696 from 700, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 12:
If we divide 40 by 174, we get 0 and a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 37879.1954
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 13:
When dividing 400 by 174, we get 2 with a remainder of 52.
The next digit of our result is 2. 
Result so far: 37879.195402
Subtract 348 from 400 to get 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 14:
If we divide 520 by 174, we get 2 and a remainder of 172.
The next digit of our result is 2. 
Result so far: 37879.1954022
Subtracting 348 from 520 leaves us with 172.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1720, and continue the process.

Our division results in 37879.1954022 with a remaining 1.72e-06.