Certainly, here's the step-by-step process to divide 8 by 232:
Step 1: Set up the division:
0.0345
________
232 | 8.0000
Step 2: Perform the long division:
- First, divide 8 by 232. You can't fit any 232s into 8, so the quotient for this step is 0.
0.0345
________
232 | 8.0000
-
0
- Now, bring down a zero and consider 80. How many times does 232 fit into 800? It fits 3 times without exceeding 800 (3 * 232 = 696).
0.0345
________
232 | 8.0000
-
0
______
80
- Subtract 696 (3 * 232) from 800, which leaves you with 104.
0.0345
________
232 | 8.0000
-
0
______
80
- 696
- Bring down another zero to make it 1040.
0.0345
________
232 | 8.0000
-
0
______
80
- 696
______
1040
- Now, how many times does 232 fit into 1040? It fits 4 times without exceeding 1040 (4 * 232 = 928).
0.0345
________
232 | 8.0000
-
0
______
80
- 696
______
1040
- 928
- Subtract 928 (4 * 232) from 1040, which leaves you with 112.
0.0345
________
232 | 8.0000
-
0
______
80
- 696
______
1040
- 928
______
112
- Finally, bring down another zero to make it 1120.
0.0345
________
232 | 8.0000
-
0
______
80
- 696
______
1040
- 928
______
1120
- Now, how many times does 232 fit into 1120? It fits 4 times without exceeding 1120 (4 * 232 = 928).
0.0345
________
232 | 8.0000
-
0
______
80
- 696
______
1040
- 928
______
1120
- 928
- Subtract 928 (4 * 232) from 1120, which leaves you with 192.
Step 3: Continue this process until you have the desired level of precision in your answer. In this case, you wanted four decimal places, so you can keep bringing down zeros and repeating the process until you have the desired precision.
So, the result of dividing 8 by 232 is approximately 0.0345 when rounded to four decimal places.