7376934 divided by 511 
Our goal is to divide 7376934 by 511.

Advancing to step 1:
If we divide 7 by 511, we get 0 and a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Grab the next digit (3) from the dividend, add it to 7, then carry on: 73 / 511

Step 2:
If we divide 73 by 511, we get 0 and a remainder of 73.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 73 after subtracting 0 from 73.
Append the next digit (7) from the dividend to 73 and continue with: 737 / 511

Step 3:
If we divide 737 by 511, we get 1 and a remainder of 226.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 511 from 737 and we're left with 226.
Append the next digit (6) from the dividend to 226 and continue with: 2266 / 511

Step 4:
When dividing 2266 by 511, we get 4 with a remainder of 222.
The next digit of our result is 4. 
Result so far: 14.0
Subtract 2044 from 2266 to get 222.
Fetch the next digit (9) from the dividend, attach it to 222 and continue: 2229 / 511

Advancing to step 5:
2229 divided by 511 is 4 with a remainder of 185.
Use 4 as the next digit of our solution. 
Result so far: 144.0
Subtract 2044 from 2229 to get 185.
Grab the next digit (3) from the dividend, add it to 185, then carry on: 1853 / 511

Step 6:
When dividing 1853 by 511, we get 3 with a remainder of 320.
The number 3 becomes the next digit in our result. 
Result so far: 1443.0
The remainder is 320 after subtracting 1533 from 1853.
Append the next digit (4) from the dividend to 320 and continue with: 3204 / 511

Let's proceed to step 7:
511 can be fit into 3204 6 times, resulting in a remainder of 138.
Record the quotient 6 as the next digit in the result. 
Result so far: 14436.0
The remainder is 138 after subtracting 3066 from 3204.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1380, and continue the process.

Step 8:
If we divide 1380 by 511, we get 2 and a remainder of 358.
Write down 2 as next digit of the result. 
Result so far: 14436.2
If we take 1022 away from 1380, we end up with 358.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3580, and continue the process.

Step 9:
When dividing 3580 by 511, we get 7 with a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 14436.27
If we take 3577 away from 3580, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 10:
30 divided by 511 is 0 with a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 14436.27
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 11:
When dividing 300 by 511, we get 0 with a remainder of 300.
Use 0 as the next digit of our solution. 
Result so far: 14436.27
If we take 0 away from 300, we end up with 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3000, and continue the process.

After the division, we end up with 14436.27 and a remainder of 0.003.