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Question

What is the quotient and remainder when $ 12055 $ is divided by $ 1205 $ ?

Answer

The quotient is 10 and the remainder is 5.

Explanation

Division Table
				0	0	0	1	0
1	2	0	5	1	2	0	5	5
			–	0
				1	2
				–	0
				1	2	0
					–	0
				1	2	0	5
			–	1	2	0	5
							5
						–	0
							5

STEP 0: set up a division table

1	2	0	5	1	2	0	5	5

STEP 1: DIVIDE 1 : 1205 = 0 with a remainder of 1
				0
1	2	0	5	1	2	0	5	5

STEP 2: MULTIPLY 0 · 1205 = 0
				0
1	2	0	5	1	2	0	5	5
				0

STEP 3: SUBTRACT 1 - 0 = 1
				0
1	2	0	5	1	2	0	5	5
			–	0
				1

STEP 4: BRING DOWN
				0
1	2	0	5	1	2	0	5	5
			–	0
				1	2

STEP 5: DIVIDE 12 : 1205 = 0 with a remainder of 12
				0	0
1	2	0	5	1	2	0	5	5
			–	0
				1	2

STEP 6: MULTIPLY 0 · 1205 = 0
				0	0
1	2	0	5	1	2	0	5	5
			–	0
				1	2
					0

STEP 7: SUBTRACT 12 - 0 = 12
				0	0
1	2	0	5	1	2	0	5	5
			–	0
				1	2
				–	0
				1	2

STEP 8: BRING DOWN
				0	0
1	2	0	5	1	2	0	5	5
			–	0
				1	2
				–	0
				1	2	0

STEP 9: DIVIDE 120 : 1205 = 0 with a remainder of 120
				0	0	0
1	2	0	5	1	2	0	5	5
			–	0
				1	2
				–	0
				1	2	0

STEP 10: MULTIPLY 0 · 1205 = 0
				0	0	0
1	2	0	5	1	2	0	5	5
			–	0
				1	2
				–	0
				1	2	0
						0

STEP 11: SUBTRACT 120 - 0 = 120
				0	0	0
1	2	0	5	1	2	0	5	5
			–	0
				1	2
				–	0
				1	2	0
					–	0
				1	2	0

STEP 12: BRING DOWN
				0	0	0
1	2	0	5	1	2	0	5	5
			–	0
				1	2
				–	0
				1	2	0
					–	0
				1	2	0	5

STEP 13: DIVIDE 1205 : 1205 = 1 with a remainder of 0
				0	0	0	1
1	2	0	5	1	2	0	5	5
			–	0
				1	2
				–	0
				1	2	0
					–	0
				1	2	0	5

STEP 14: MULTIPLY 1 · 1205 = 1205
				0	0	0	1
1	2	0	5	1	2	0	5	5
			–	0
				1	2
				–	0
				1	2	0
					–	0
				1	2	0	5
				1	2	0	5

STEP 15: SUBTRACT 1205 - 1205 = 0
				0	0	0	1
1	2	0	5	1	2	0	5	5
			–	0
				1	2
				–	0
				1	2	0
					–	0
				1	2	0	5
			–	1	2	0	5
							0

STEP 16: BRING DOWN
				0	0	0	1
1	2	0	5	1	2	0	5	5
			–	0
				1	2
				–	0
				1	2	0
					–	0
				1	2	0	5
			–	1	2	0	5
							5

STEP 17: DIVIDE 5 : 1205 = 0 with a remainder of 5
				0	0	0	1	0
1	2	0	5	1	2	0	5	5
			–	0
				1	2
				–	0
				1	2	0
					–	0
				1	2	0	5
			–	1	2	0	5
							5

STEP 18: MULTIPLY 0 · 1205 = 0
				0	0	0	1	0
1	2	0	5	1	2	0	5	5
			–	0
				1	2
				–	0
				1	2	0
					–	0
				1	2	0	5
			–	1	2	0	5
							5
							0

STEP 19: SUBTRACT 5 - 0 = 5
				0	0	0	1	0
1	2	0	5	1	2	0	5	5
			–	0
				1	2
				–	0
				1	2	0
					–	0
				1	2	0	5
			–	1	2	0	5
							5
						–	0
							5

STEP 19: SUBTRACT 5 - 0 = 5
				0	0	0	1	0
1	2	0	5	1	2	0	5	5
			–	0
				1	2
				–	0
				1	2	0
					–	0
				1	2	0	5
			–	1	2	0	5
							5
						–	0
							5

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