We're dividing 6554493 by 431 
Our goal is to divide 6554493 by 431.

Step 1:
The number 431 fits into 6 0 times, leaving a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 431

Going ahead to step 2:
If we divide 65 by 431, we get 0 and a remainder of 65.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 65 leaves us with 65.
Fetch the next digit (5) from the dividend, attach it to 65 and continue: 655 / 431

Moving on to step 3:
The number 431 fits into 655 1 times, leaving a remainder of 224.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 431 away from 655, we end up with 224.
Grab the next digit (4) from the dividend, add it to 224, then carry on: 2244 / 431

Advancing to step 4:
431 can be fit into 2244 5 times, resulting in a remainder of 89.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
If we subtract 2155 from 2244, we get 89.
Append the next digit (4) from the dividend to 89 and continue with: 894 / 431

Going ahead to step 5:
When dividing 894 by 431, we get 2 with a remainder of 32.
The number 2 becomes the next digit in our result. 
Result so far: 152.0
Subtract 862 from 894 to get 32.
Bring next digit (9) of the dividend behind the 32 and repeat the process: 329 / 431

Moving on to step 6:
If we divide 329 by 431, we get 0 and a remainder of 329.
The next digit of our result is 0. 
Result so far: 1520.0
The remainder is 329 after subtracting 0 from 329.
Grab the next digit (3) from the dividend, add it to 329, then carry on: 3293 / 431

Moving on to step 7:
When dividing 3293 by 431, we get 7 with a remainder of 276.
Use 7 as the next digit of our solution. 
Result so far: 15207.0
Subtracting 3017 from 3293 leaves us with 276.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2760, and continue the process.

Step 8:
431 can be fit into 2760 6 times, resulting in a remainder of 174.
Use 6 as the next digit of our solution. 
Result so far: 15207.6
Subtracting 2586 from 2760 leaves us with 174.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1740, and continue the process.

Going ahead to step 9:
431 goes into 1740 4 times with a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 15207.64
Subtract 1724 from 1740 to 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.

Going ahead to step 10:
160 divided by 431 is 0 with a remainder of 160.
Write down 0 as next digit of the result. 
Result so far: 15207.64
Subtract 0 from 160 to get 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1600, and continue the process.

Advancing to step 11:
1600 divided by 431 is 3 with a remainder of 307.
The number 3 becomes the next digit in our result. 
Result so far: 15207.6403
If we take 1293 away from 1600, we end up with 307.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3070, and continue the process.

Step 12:
3070 divided by 431 is 7 with a remainder of 53.
Use 7 as the next digit of our solution. 
Result so far: 15207.64037
If we subtract 3017 from 3070, we get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Let's proceed to step 13:
When dividing 530 by 431, we get 1 with a remainder of 99.
Record the quotient 1 as the next digit in the result. 
Result so far: 15207.640371
Deduct 431 from 530 and we're left with 99.
Since there are no more digits in the dividend, we add a zero to the remainder making it 990, and continue the process.

Moving on to step 14:
990 divided by 431 is 2 with a remainder of 128.
Write down 2 as next digit of the result. 
Result so far: 15207.6403712
Subtracting 862 from 990 leaves us with 128.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1280, and continue the process.

Advancing to step 15:
The number 431 fits into 1280 2 times, leaving a remainder of 418.
Record the quotient 2 as the next digit in the result. 
Result so far: 15207.64037122
Subtracting 862 from 1280 leaves us with 418.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4180, and continue the process.

The quotient of the division is 15207.64037122, and the remainder is 4.18e-07.