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Just like in base 10 (but remember that carries between place value columns are in powers of 3 which look like '10' (but in base 3); '10' in base 3 is '3' in base 10; and each place value can only contain a digit in the range 0 to 2).

The 2 times table in base 3 also helps:

1 x 2 = 2

2 x 2 = 11

10 x 2 = 20

11 x 2 = 22

12 x 2 = 101

20 x 2 = 110

...

example 21201223 ÷ 23:

.... 1021211

.. -------------

2 | 2120122

.... 2

.... --

..... 012

....... 11

....... ---

......... 10

........... 2

.......... --

........... 11

........... 11

........... ---

............. 02

............... 2

.............. --

............... 02

................. 2

............... ---

................. 0

so 21201223 ÷ 23 = 10212113

Checking in base 10:

21201223 = 188010

23 = 210

10212113 = 94010

188010 ÷ 210 = 94010 (as required)

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Q: How do you divide number written base 3 by 2 without changing base?
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