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 $ 25198 $ is divided by $ 1824 $ ?

Answer

The quotient is 13 and the remainder is 1486.

Explanation

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

STEP 0: set up a division table

1	8	2	4	2	5	1	9	8

STEP 1: DIVIDE 2 : 1824 = 0 with a remainder of 2
				0
1	8	2	4	2	5	1	9	8

STEP 2: MULTIPLY 0 · 1824 = 0
				0
1	8	2	4	2	5	1	9	8
				0

STEP 3: SUBTRACT 2 - 0 = 2
				0
1	8	2	4	2	5	1	9	8
			–	0
				2

STEP 4: BRING DOWN
				0
1	8	2	4	2	5	1	9	8
			–	0
				2	5

STEP 5: DIVIDE 25 : 1824 = 0 with a remainder of 25
				0	0
1	8	2	4	2	5	1	9	8
			–	0
				2	5

STEP 6: MULTIPLY 0 · 1824 = 0
				0	0
1	8	2	4	2	5	1	9	8
			–	0
				2	5
					0

STEP 7: SUBTRACT 25 - 0 = 25
				0	0
1	8	2	4	2	5	1	9	8
			–	0
				2	5
				–	0
				2	5

STEP 8: BRING DOWN
				0	0
1	8	2	4	2	5	1	9	8
			–	0
				2	5
				–	0
				2	5	1

STEP 9: DIVIDE 251 : 1824 = 0 with a remainder of 251
				0	0	0
1	8	2	4	2	5	1	9	8
			–	0
				2	5
				–	0
				2	5	1

STEP 10: MULTIPLY 0 · 1824 = 0
				0	0	0
1	8	2	4	2	5	1	9	8
			–	0
				2	5
				–	0
				2	5	1
						0

STEP 11: SUBTRACT 251 - 0 = 251
				0	0	0
1	8	2	4	2	5	1	9	8
			–	0
				2	5
				–	0
				2	5	1
					–	0
				2	5	1

STEP 12: BRING DOWN
				0	0	0
1	8	2	4	2	5	1	9	8
			–	0
				2	5
				–	0
				2	5	1
					–	0
				2	5	1	9

STEP 13: DIVIDE 2519 : 1824 = 1 with a remainder of 695
				0	0	0	1
1	8	2	4	2	5	1	9	8
			–	0
				2	5
				–	0
				2	5	1
					–	0
				2	5	1	9

STEP 14: MULTIPLY 1 · 1824 = 1824
				0	0	0	1
1	8	2	4	2	5	1	9	8
			–	0
				2	5
				–	0
				2	5	1
					–	0
				2	5	1	9
				1	8	2	4

STEP 15: SUBTRACT 2519 - 1824 = 695
				0	0	0	1
1	8	2	4	2	5	1	9	8
			–	0
				2	5
				–	0
				2	5	1
					–	0
				2	5	1	9
			–	1	8	2	4
					6	9	5

STEP 16: BRING DOWN
				0	0	0	1
1	8	2	4	2	5	1	9	8
			–	0
				2	5
				–	0
				2	5	1
					–	0
				2	5	1	9
			–	1	8	2	4
					6	9	5	8

STEP 17: DIVIDE 6958 : 1824 = 3 with a remainder of 1486
				0	0	0	1	3
1	8	2	4	2	5	1	9	8
			–	0
				2	5
				–	0
				2	5	1
					–	0
				2	5	1	9
			–	1	8	2	4
					6	9	5	8

STEP 18: MULTIPLY 3 · 1824 = 5472
				0	0	0	1	3
1	8	2	4	2	5	1	9	8
			–	0
				2	5
				–	0
				2	5	1
					–	0
				2	5	1	9
			–	1	8	2	4
					6	9	5	8
					5	4	7	2

STEP 19: SUBTRACT 6958 - 5472 = 1486
				0	0	0	1	3
1	8	2	4	2	5	1	9	8
			–	0
				2	5
				–	0
				2	5	1
					–	0
				2	5	1	9
			–	1	8	2	4
					6	9	5	8
				–	5	4	7	2
					1	4	8	6

STEP 19: SUBTRACT 6958 - 5472 = 1486
				0	0	0	1	3
1	8	2	4	2	5	1	9	8
			–	0
				2	5
				–	0
				2	5	1
					–	0
				2	5	1	9
			–	1	8	2	4
					6	9	5	8
				–	5	4	7	2
					1	4	8	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