This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
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Here are the solutions for the division problems:
1b)
Step 1: Divide by . with a remainder of . Step 2: Bring down the next digit, , to form . Divide by . with a remainder of . Step 3: Bring down the next digit, , to form . Divide by . with a remainder of . Step 4: Bring down the next digit, , to form . Divide by . with a remainder of .
The quotient is .
Estimate (Überschlag):
The final answer is .
2a)
Step 1: Divide by . with a remainder of . Step 2: Bring down the next digit, , to form . Divide by . with a remainder of . Step 3: Bring down the next digit, , to form . Divide by . with a remainder of . Step 4: Bring down the next digit, , to form . Divide by . with a remainder of . Step 5: Bring down the next digit, , to form . Divide by . with a remainder of .
The quotient is .
Check (Probe):
The final answer is .
2b)
Step 1: Divide by . with a remainder of . Step 2: Bring down the next digit, , to form . Divide by . with a remainder of . Step 3: Bring down the next digit, , to form . Divide by . with a remainder of . Step 4: Bring down the next digit, , to form . Divide by . with a remainder of . Step 5: Bring down the next digit, , to form . Divide by . with a remainder of .
The quotient is .
Check (Probe):
The final answer is .
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1b) 13509 : 3 Step 1: Divide 13 by 3. 13 ÷ 3 = 4 with a remainder of 1.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.