Solve the following division problems: 1b) 13509 : 3, 2a) 73026 : 3, 2b) 72420 : 6.

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Here are the solutions for the division problems:

1b) $13509 : 3$

Divide 13 by 3.
$13 \div 3 = 4$ with a remainder of 1.
Bring down the next digit, 5, to form 15.
Divide 15 by 3.
$15 \div 3 = 5$ with a remainder of 0.
Bring down the next digit, 0, to form 0.
Divide 0 by 3.
$0 \div 3 = 0$ with a remainder of 0.
Bring down the next digit, 9, to form 9.
Divide 9 by 3.
$9 \div 3 = 3$ with a remainder of 0.

The quotient is 4503.

Estimate (Überschlag):
$12000 \div 3 = 4000$
The final answer is $\boxed{\text{4503}}$ .

2a) $73026 : 3$
Divide 7 by 3.
$7 \div 3 = 2$ with a remainder of 1.
Bring down the next digit, 3, to form 13.
Divide 13 by 3.
$13 \div 3 = 4$ with a remainder of 1.
Bring down the next digit, 0, to form 10.
Divide 10 by 3.
$10 \div 3 = 3$ with a remainder of 1.
Bring down the next digit, 2, to form 12.
Divide 12 by 3.
$12 \div 3 = 4$ with a remainder of 0.
Bring down the next digit, 6, to form 6.
Divide 6 by 3.
$6 \div 3 = 2$ with a remainder of 0.

The quotient is 24342.

Check (Probe):
$24342 \times 3 = 73026$
The final answer is $\boxed{\text{24342}}$ .

2b) $72420 : 6$
Divide 7 by 6.
$7 \div 6 = 1$ with a remainder of 1.
Bring down the next digit, 2, to form 12.
Divide 12 by 6.
$12 \div 6 = 2$ with a remainder of 0.
Bring down the next digit, 4, to form 4.
Divide 4 by 6.
$4 \div 6 = 0$ with a remainder of 4.
Bring down the next digit, 2, to form 42.
Divide 42 by 6.
$42 \div 6 = 7$ with a remainder of 0.
Bring down the next digit, 0, to form 0.
Divide 0 by 6.
$0 \div 6 = 0$ with a remainder of 0.

The quotient is 12070.

Check (Probe):
$12070 \times 6 = 72420$
The final answer is $\boxed{\text{12070}}$ .

Solve the following division problems: 1b) 13509 : 3, 2a) 73026 : 3, 2b) 72420 : 6.

Step-by-step solution

Divide 13 by 3.

Bring down the next digit, 5, to form 15.

Bring down the next digit, 0, to form 0.

Bring down the next digit, 9, to form 9.

Divide 7 by 3.

Bring down the next digit, 3, to form 13.

Bring down the next digit, 0, to form 10.

Bring down the next digit, 2, to form 12.

Bring down the next digit, 6, to form 6.

Divide 7 by 6.

Bring down the next digit, 2, to form 12.

Bring down the next digit, 4, to form 4.

Bring down the next digit, 2, to form 42.

Bring down the next digit, 0, to form 0.

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