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 $ 540000000 $ is divided by $ 11025 $ ?

Answer

The quotient is 48979 and the remainder is 6525.

Explanation

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

STEP 0: set up a division table

1	1	0	2	5	5	4	0	0	0	0	0	0	0

STEP 1: DIVIDE 5 : 11025 = 0 with a remainder of 5
					0
1	1	0	2	5	5	4	0	0	0	0	0	0	0

STEP 2: MULTIPLY 0 · 11025 = 0
					0
1	1	0	2	5	5	4	0	0	0	0	0	0	0
					0

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

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

STEP 5: DIVIDE 54 : 11025 = 0 with a remainder of 54
					0	0
1	1	0	2	5	5	4	0	0	0	0	0	0	0
				–	0
					5	4

STEP 6: MULTIPLY 0 · 11025 = 0
					0	0
1	1	0	2	5	5	4	0	0	0	0	0	0	0
				–	0
					5	4
						0

STEP 7: SUBTRACT 54 - 0 = 54
					0	0
1	1	0	2	5	5	4	0	0	0	0	0	0	0
				–	0
					5	4
					–	0
					5	4

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

STEP 9: DIVIDE 540 : 11025 = 0 with a remainder of 540
					0	0	0
1	1	0	2	5	5	4	0	0	0	0	0	0	0
				–	0
					5	4
					–	0
					5	4	0

STEP 10: MULTIPLY 0 · 11025 = 0
					0	0	0
1	1	0	2	5	5	4	0	0	0	0	0	0	0
				–	0
					5	4
					–	0
					5	4	0
							0

STEP 11: SUBTRACT 540 - 0 = 540
					0	0	0
1	1	0	2	5	5	4	0	0	0	0	0	0	0
				–	0
					5	4
					–	0
					5	4	0
						–	0
					5	4	0

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

STEP 13: DIVIDE 5400 : 11025 = 0 with a remainder of 5400
					0	0	0	0
1	1	0	2	5	5	4	0	0	0	0	0	0	0
				–	0
					5	4
					–	0
					5	4	0
						–	0
					5	4	0	0

STEP 14: MULTIPLY 0 · 11025 = 0
					0	0	0	0
1	1	0	2	5	5	4	0	0	0	0	0	0	0
				–	0
					5	4
					–	0
					5	4	0
						–	0
					5	4	0	0
								0

STEP 15: SUBTRACT 5400 - 0 = 5400
					0	0	0	0
1	1	0	2	5	5	4	0	0	0	0	0	0	0
				–	0
					5	4
					–	0
					5	4	0
						–	0
					5	4	0	0
							–	0
					5	4	0	0

STEP 16: BRING DOWN
					0	0	0	0
1	1	0	2	5	5	4	0	0	0	0	0	0	0
				–	0
					5	4
					–	0
					5	4	0
						–	0
					5	4	0	0
							–	0
					5	4	0	0	0

STEP 17: DIVIDE 54000 : 11025 = 4 with a remainder of 9900
					0	0	0	0	4
1	1	0	2	5	5	4	0	0	0	0	0	0	0
				–	0
					5	4
					–	0
					5	4	0
						–	0
					5	4	0	0
							–	0
					5	4	0	0	0

STEP 18: MULTIPLY 4 · 11025 = 44100
					0	0	0	0	4
1	1	0	2	5	5	4	0	0	0	0	0	0	0
				–	0
					5	4
					–	0
					5	4	0
						–	0
					5	4	0	0
							–	0
					5	4	0	0	0
					4	4	1	0	0

STEP 19: SUBTRACT 54000 - 44100 = 9900
					0	0	0	0	4
1	1	0	2	5	5	4	0	0	0	0	0	0	0
				–	0
					5	4
					–	0
					5	4	0
						–	0
					5	4	0	0
							–	0
					5	4	0	0	0
				–	4	4	1	0	0
						9	9	0	0

STEP 20: BRING DOWN
					0	0	0	0	4
1	1	0	2	5	5	4	0	0	0	0	0	0	0
				–	0
					5	4
					–	0
					5	4	0
						–	0
					5	4	0	0
							–	0
					5	4	0	0	0
				–	4	4	1	0	0
						9	9	0	0	0

STEP 21: DIVIDE 99000 : 11025 = 8 with a remainder of 10800
					0	0	0	0	4	8
1	1	0	2	5	5	4	0	0	0	0	0	0	0
				–	0
					5	4
					–	0
					5	4	0
						–	0
					5	4	0	0
							–	0
					5	4	0	0	0
				–	4	4	1	0	0
						9	9	0	0	0

STEP 22: MULTIPLY 8 · 11025 = 88200
					0	0	0	0	4	8
1	1	0	2	5	5	4	0	0	0	0	0	0	0
				–	0
					5	4
					–	0
					5	4	0
						–	0
					5	4	0	0
							–	0
					5	4	0	0	0
				–	4	4	1	0	0
						9	9	0	0	0
						8	8	2	0	0

STEP 23: SUBTRACT 99000 - 88200 = 10800
					0	0	0	0	4	8
1	1	0	2	5	5	4	0	0	0	0	0	0	0
				–	0
					5	4
					–	0
					5	4	0
						–	0
					5	4	0	0
							–	0
					5	4	0	0	0
				–	4	4	1	0	0
						9	9	0	0	0
					–	8	8	2	0	0
						1	0	8	0	0

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

STEP 25: DIVIDE 108000 : 11025 = 9 with a remainder of 8775
					0	0	0	0	4	8	9
1	1	0	2	5	5	4	0	0	0	0	0	0	0
				–	0
					5	4
					–	0
					5	4	0
						–	0
					5	4	0	0
							–	0
					5	4	0	0	0
				–	4	4	1	0	0
						9	9	0	0	0
					–	8	8	2	0	0
						1	0	8	0	0	0

STEP 26: MULTIPLY 9 · 11025 = 99225
					0	0	0	0	4	8	9
1	1	0	2	5	5	4	0	0	0	0	0	0	0
				–	0
					5	4
					–	0
					5	4	0
						–	0
					5	4	0	0
							–	0
					5	4	0	0	0
				–	4	4	1	0	0
						9	9	0	0	0
					–	8	8	2	0	0
						1	0	8	0	0	0
							9	9	2	2	5

STEP 27: SUBTRACT 108000 - 99225 = 8775
					0	0	0	0	4	8	9
1	1	0	2	5	5	4	0	0	0	0	0	0	0
				–	0
					5	4
					–	0
					5	4	0
						–	0
					5	4	0	0
							–	0
					5	4	0	0	0
				–	4	4	1	0	0
						9	9	0	0	0
					–	8	8	2	0	0
						1	0	8	0	0	0
						–	9	9	2	2	5
								8	7	7	5

STEP 28: BRING DOWN
					0	0	0	0	4	8	9
1	1	0	2	5	5	4	0	0	0	0	0	0	0
				–	0
					5	4
					–	0
					5	4	0
						–	0
					5	4	0	0
							–	0
					5	4	0	0	0
				–	4	4	1	0	0
						9	9	0	0	0
					–	8	8	2	0	0
						1	0	8	0	0	0
						–	9	9	2	2	5
								8	7	7	5	0

STEP 29: DIVIDE 87750 : 11025 = 7 with a remainder of 10575
					0	0	0	0	4	8	9	7
1	1	0	2	5	5	4	0	0	0	0	0	0	0
				–	0
					5	4
					–	0
					5	4	0
						–	0
					5	4	0	0
							–	0
					5	4	0	0	0
				–	4	4	1	0	0
						9	9	0	0	0
					–	8	8	2	0	0
						1	0	8	0	0	0
						–	9	9	2	2	5
								8	7	7	5	0

STEP 30: MULTIPLY 7 · 11025 = 77175
					0	0	0	0	4	8	9	7
1	1	0	2	5	5	4	0	0	0	0	0	0	0
				–	0
					5	4
					–	0
					5	4	0
						–	0
					5	4	0	0
							–	0
					5	4	0	0	0
				–	4	4	1	0	0
						9	9	0	0	0
					–	8	8	2	0	0
						1	0	8	0	0	0
						–	9	9	2	2	5
								8	7	7	5	0
								7	7	1	7	5

STEP 31: SUBTRACT 87750 - 77175 = 10575
					0	0	0	0	4	8	9	7
1	1	0	2	5	5	4	0	0	0	0	0	0	0
				–	0
					5	4
					–	0
					5	4	0
						–	0
					5	4	0	0
							–	0
					5	4	0	0	0
				–	4	4	1	0	0
						9	9	0	0	0
					–	8	8	2	0	0
						1	0	8	0	0	0
						–	9	9	2	2	5
								8	7	7	5	0
							–	7	7	1	7	5
								1	0	5	7	5

STEP 32: BRING DOWN
					0	0	0	0	4	8	9	7
1	1	0	2	5	5	4	0	0	0	0	0	0	0
				–	0
					5	4
					–	0
					5	4	0
						–	0
					5	4	0	0
							–	0
					5	4	0	0	0
				–	4	4	1	0	0
						9	9	0	0	0
					–	8	8	2	0	0
						1	0	8	0	0	0
						–	9	9	2	2	5
								8	7	7	5	0
							–	7	7	1	7	5
								1	0	5	7	5	0

STEP 33: DIVIDE 105750 : 11025 = 9 with a remainder of 6525
					0	0	0	0	4	8	9	7	9
1	1	0	2	5	5	4	0	0	0	0	0	0	0
				–	0
					5	4
					–	0
					5	4	0
						–	0
					5	4	0	0
							–	0
					5	4	0	0	0
				–	4	4	1	0	0
						9	9	0	0	0
					–	8	8	2	0	0
						1	0	8	0	0	0
						–	9	9	2	2	5
								8	7	7	5	0
							–	7	7	1	7	5
								1	0	5	7	5	0

STEP 34: MULTIPLY 9 · 11025 = 99225
					0	0	0	0	4	8	9	7	9
1	1	0	2	5	5	4	0	0	0	0	0	0	0
				–	0
					5	4
					–	0
					5	4	0
						–	0
					5	4	0	0
							–	0
					5	4	0	0	0
				–	4	4	1	0	0
						9	9	0	0	0
					–	8	8	2	0	0
						1	0	8	0	0	0
						–	9	9	2	2	5
								8	7	7	5	0
							–	7	7	1	7	5
								1	0	5	7	5	0
									9	9	2	2	5

STEP 35: SUBTRACT 105750 - 99225 = 6525
					0	0	0	0	4	8	9	7	9
1	1	0	2	5	5	4	0	0	0	0	0	0	0
				–	0
					5	4
					–	0
					5	4	0
						–	0
					5	4	0	0
							–	0
					5	4	0	0	0
				–	4	4	1	0	0
						9	9	0	0	0
					–	8	8	2	0	0
						1	0	8	0	0	0
						–	9	9	2	2	5
								8	7	7	5	0
							–	7	7	1	7	5
								1	0	5	7	5	0
								–	9	9	2	2	5
										6	5	2	5

STEP 35: SUBTRACT 105750 - 99225 = 6525
					0	0	0	0	4	8	9	7	9
1	1	0	2	5	5	4	0	0	0	0	0	0	0
				–	0
					5	4
					–	0
					5	4	0
						–	0
					5	4	0	0
							–	0
					5	4	0	0	0
				–	4	4	1	0	0
						9	9	0	0	0
					–	8	8	2	0	0
						1	0	8	0	0	0
						–	9	9	2	2	5
								8	7	7	5	0
							–	7	7	1	7	5
								1	0	5	7	5	0
								–	9	9	2	2	5
										6	5	2	5

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