Math Calculators, Lessons and Formulas

It is time to solve your math problem

mathportal.org

◀ back to index

Question

What is the quotient and remainder when $ 2248813 $ is divided by $ 12387 $ ?

Answer

The quotient is 181 and the remainder is 6766.

Explanation

Division Table
					0	0	0	0	1	8	1
1	2	3	8	7	2	2	4	8	8	1	3
				–	0
					2	2
					–	0
					2	2	4
						–	0
					2	2	4	8
							–	0
					2	2	4	8	8
				–	1	2	3	8	7
					1	0	1	0	1	1
					–	9	9	0	9	6
							1	9	1	5	3
						–	1	2	3	8	7
								6	7	6	6

STEP 0: set up a division table

1	2	3	8	7	2	2	4	8	8	1	3

STEP 1: DIVIDE 2 : 12387 = 0 with a remainder of 2
					0
1	2	3	8	7	2	2	4	8	8	1	3

STEP 2: MULTIPLY 0 · 12387 = 0
					0
1	2	3	8	7	2	2	4	8	8	1	3
					0

STEP 3: SUBTRACT 2 - 0 = 2
					0
1	2	3	8	7	2	2	4	8	8	1	3
				–	0
					2

STEP 4: BRING DOWN
					0
1	2	3	8	7	2	2	4	8	8	1	3
				–	0
					2	2

STEP 5: DIVIDE 22 : 12387 = 0 with a remainder of 22
					0	0
1	2	3	8	7	2	2	4	8	8	1	3
				–	0
					2	2

STEP 6: MULTIPLY 0 · 12387 = 0
					0	0
1	2	3	8	7	2	2	4	8	8	1	3
				–	0
					2	2
						0

STEP 7: SUBTRACT 22 - 0 = 22
					0	0
1	2	3	8	7	2	2	4	8	8	1	3
				–	0
					2	2
					–	0
					2	2

STEP 8: BRING DOWN
					0	0
1	2	3	8	7	2	2	4	8	8	1	3
				–	0
					2	2
					–	0
					2	2	4

STEP 9: DIVIDE 224 : 12387 = 0 with a remainder of 224
					0	0	0
1	2	3	8	7	2	2	4	8	8	1	3
				–	0
					2	2
					–	0
					2	2	4

STEP 10: MULTIPLY 0 · 12387 = 0
					0	0	0
1	2	3	8	7	2	2	4	8	8	1	3
				–	0
					2	2
					–	0
					2	2	4
							0

STEP 11: SUBTRACT 224 - 0 = 224
					0	0	0
1	2	3	8	7	2	2	4	8	8	1	3
				–	0
					2	2
					–	0
					2	2	4
						–	0
					2	2	4

STEP 12: BRING DOWN
					0	0	0
1	2	3	8	7	2	2	4	8	8	1	3
				–	0
					2	2
					–	0
					2	2	4
						–	0
					2	2	4	8

STEP 13: DIVIDE 2248 : 12387 = 0 with a remainder of 2248
					0	0	0	0
1	2	3	8	7	2	2	4	8	8	1	3
				–	0
					2	2
					–	0
					2	2	4
						–	0
					2	2	4	8

STEP 14: MULTIPLY 0 · 12387 = 0
					0	0	0	0
1	2	3	8	7	2	2	4	8	8	1	3
				–	0
					2	2
					–	0
					2	2	4
						–	0
					2	2	4	8
								0

STEP 15: SUBTRACT 2248 - 0 = 2248
					0	0	0	0
1	2	3	8	7	2	2	4	8	8	1	3
				–	0
					2	2
					–	0
					2	2	4
						–	0
					2	2	4	8
							–	0
					2	2	4	8

STEP 16: BRING DOWN
					0	0	0	0
1	2	3	8	7	2	2	4	8	8	1	3
				–	0
					2	2
					–	0
					2	2	4
						–	0
					2	2	4	8
							–	0
					2	2	4	8	8

STEP 17: DIVIDE 22488 : 12387 = 1 with a remainder of 10101
					0	0	0	0	1
1	2	3	8	7	2	2	4	8	8	1	3
				–	0
					2	2
					–	0
					2	2	4
						–	0
					2	2	4	8
							–	0
					2	2	4	8	8

STEP 18: MULTIPLY 1 · 12387 = 12387
					0	0	0	0	1
1	2	3	8	7	2	2	4	8	8	1	3
				–	0
					2	2
					–	0
					2	2	4
						–	0
					2	2	4	8
							–	0
					2	2	4	8	8
					1	2	3	8	7

STEP 19: SUBTRACT 22488 - 12387 = 10101
					0	0	0	0	1
1	2	3	8	7	2	2	4	8	8	1	3
				–	0
					2	2
					–	0
					2	2	4
						–	0
					2	2	4	8
							–	0
					2	2	4	8	8
				–	1	2	3	8	7
					1	0	1	0	1

STEP 20: BRING DOWN
					0	0	0	0	1
1	2	3	8	7	2	2	4	8	8	1	3
				–	0
					2	2
					–	0
					2	2	4
						–	0
					2	2	4	8
							–	0
					2	2	4	8	8
				–	1	2	3	8	7
					1	0	1	0	1	1

STEP 21: DIVIDE 101011 : 12387 = 8 with a remainder of 1915
					0	0	0	0	1	8
1	2	3	8	7	2	2	4	8	8	1	3
				–	0
					2	2
					–	0
					2	2	4
						–	0
					2	2	4	8
							–	0
					2	2	4	8	8
				–	1	2	3	8	7
					1	0	1	0	1	1

STEP 22: MULTIPLY 8 · 12387 = 99096
					0	0	0	0	1	8
1	2	3	8	7	2	2	4	8	8	1	3
				–	0
					2	2
					–	0
					2	2	4
						–	0
					2	2	4	8
							–	0
					2	2	4	8	8
				–	1	2	3	8	7
					1	0	1	0	1	1
						9	9	0	9	6

STEP 23: SUBTRACT 101011 - 99096 = 1915
					0	0	0	0	1	8
1	2	3	8	7	2	2	4	8	8	1	3
				–	0
					2	2
					–	0
					2	2	4
						–	0
					2	2	4	8
							–	0
					2	2	4	8	8
				–	1	2	3	8	7
					1	0	1	0	1	1
					–	9	9	0	9	6
							1	9	1	5

STEP 24: BRING DOWN
					0	0	0	0	1	8
1	2	3	8	7	2	2	4	8	8	1	3
				–	0
					2	2
					–	0
					2	2	4
						–	0
					2	2	4	8
							–	0
					2	2	4	8	8
				–	1	2	3	8	7
					1	0	1	0	1	1
					–	9	9	0	9	6
							1	9	1	5	3

STEP 25: DIVIDE 19153 : 12387 = 1 with a remainder of 6766
					0	0	0	0	1	8	1
1	2	3	8	7	2	2	4	8	8	1	3
				–	0
					2	2
					–	0
					2	2	4
						–	0
					2	2	4	8
							–	0
					2	2	4	8	8
				–	1	2	3	8	7
					1	0	1	0	1	1
					–	9	9	0	9	6
							1	9	1	5	3

STEP 26: MULTIPLY 1 · 12387 = 12387
					0	0	0	0	1	8	1
1	2	3	8	7	2	2	4	8	8	1	3
				–	0
					2	2
					–	0
					2	2	4
						–	0
					2	2	4	8
							–	0
					2	2	4	8	8
				–	1	2	3	8	7
					1	0	1	0	1	1
					–	9	9	0	9	6
							1	9	1	5	3
							1	2	3	8	7

STEP 27: SUBTRACT 19153 - 12387 = 6766
					0	0	0	0	1	8	1
1	2	3	8	7	2	2	4	8	8	1	3
				–	0
					2	2
					–	0
					2	2	4
						–	0
					2	2	4	8
							–	0
					2	2	4	8	8
				–	1	2	3	8	7
					1	0	1	0	1	1
					–	9	9	0	9	6
							1	9	1	5	3
						–	1	2	3	8	7
								6	7	6	6

STEP 27: SUBTRACT 19153 - 12387 = 6766
					0	0	0	0	1	8	1
1	2	3	8	7	2	2	4	8	8	1	3
				–	0
					2	2
					–	0
					2	2	4
						–	0
					2	2	4	8
							–	0
					2	2	4	8	8
				–	1	2	3	8	7
					1	0	1	0	1	1
					–	9	9	0	9	6
							1	9	1	5	3
						–	1	2	3	8	7
								6	7	6	6

This page was created using

Long division calculator

About the Author

Welcome to MathPortal. This website's owner is mathematician Miloš Petrović. I designed this website and wrote all the calculators, lessons, and formulas.

If you want to contact me, probably have some questions, write me using the contact form or email me on [email protected].

Send Me A Comment

Main Navigation

Online Math Calculators