To find the quotient when 345345345 is divided by 345, we can follow these steps:
### Step 1: Set up the division
We need to divide 345345345 by 345. We can write it as:
\[
345345345 \div 345
\]
### Step 2: Estimate how many times 345 fits into the first part of the dividend
We start with the first three digits of the dividend, which is 345.
- Since 345 fits into 345 exactly 1 time, we write 1 as the first digit of our quotient.
### Step 3: Perform the multiplication
Now we multiply 1 (the quotient we just found) by 345:
\[
1 \times 345 = 345
\]
### Step 4: Subtract the result from the dividend
Now we subtract this result from the first part of the dividend:
\[
345 - 345 = 0
\]
### Step 5: Bring down the next digit
Next, we bring down the next digit from the dividend, which is 3. Now we have 03. Since 03 is less than 345, we write 0 in the quotient.
### Step 6: Bring down the next digit
Next, we bring down the next digit, which is 4. Now we have 034. Again, since 034 is less than 345, we write another 0 in the quotient.
### Step 7: Bring down the next digit
Next, we bring down the next digit, which is 5. Now we have 345.
- Since 345 fits into 345 exactly 1 time, we write 1 in the quotient.
### Step 8: Perform the multiplication again
Now we multiply 1 by 345:
\[
1 \times 345 = 345
\]
### Step 9: Subtract again
We subtract this result from the current number:
\[
345 - 345 = 0
\]
### Step 10: Bring down the next digit
Next, we bring down the next digit, which is 3. Now we have 03. Again, since 03 is less than 345, we write 0 in the quotient.
### Step 11: Bring down the next digit
Next, we bring down the next digit, which is 4. Now we have 034. Again, since 034 is less than 345, we write another 0 in the quotient.
### Step 12: Bring down the last digit
Finally, we bring down the last digit, which is 5. Now we have 345.
- Since 345 fits into 345 exactly 1 time, we write 1 in the quotient.
### Step 13: Final subtraction
We subtract this result from the last number:
\[
345 - 345 = 0
\]
### Conclusion
Now we have completed the division and the quotient is:
\[
1001
\]
### Final Answer
The quotient when 345345345 is divided by 345 is **1001**.
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