What is the quotient and remainder when $ 86 $ is divided by $ 3 $ ?

Answer

The quotient is 28 and the remainder is 2.

Explanation

Division Table
	2	8
3	8	6
–	6
	2	6
–	2	4
		2

STEP 0: set up a division table

3	8	6

STEP 1: DIVIDE 8 : 3 = 2 with a remainder of 2
	2
3	8	6

STEP 2: MULTIPLY 2 · 3 = 6
	2
3	8	6
	6

STEP 3: SUBTRACT 8 - 6 = 2
	2
3	8	6
–	6
	2

STEP 4: BRING DOWN
	2
3	8	6
–	6
	2	6

STEP 5: DIVIDE 26 : 3 = 8 with a remainder of 2
	2	8
3	8	6
–	6
	2	6

STEP 6: MULTIPLY 8 · 3 = 24
	2	8
3	8	6
–	6
	2	6
	2	4

STEP 7: SUBTRACT 26 - 24 = 2
	2	8
3	8	6
–	6
	2	6
–	2	4
		2

STEP 7: SUBTRACT 26 - 24 = 2
	2	8
3	8	6
–	6
	2	6
–	2	4
		2

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