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 $ 61261 $ is divided by $ 70 $ ?

Answer

The quotient is 875 and the remainder is 11.

Explanation

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

STEP 0: set up a division table

7	0	6	1	2	6	1

STEP 1: DIVIDE 6 : 70 = 0 with a remainder of 6
		0
7	0	6	1	2	6	1

STEP 2: MULTIPLY 0 · 70 = 0
		0
7	0	6	1	2	6	1
		0

STEP 3: SUBTRACT 6 - 0 = 6
		0
7	0	6	1	2	6	1
	–	0
		6

STEP 4: BRING DOWN
		0
7	0	6	1	2	6	1
	–	0
		6	1

STEP 5: DIVIDE 61 : 70 = 0 with a remainder of 61
		0	0
7	0	6	1	2	6	1
	–	0
		6	1

STEP 6: MULTIPLY 0 · 70 = 0
		0	0
7	0	6	1	2	6	1
	–	0
		6	1
			0

STEP 7: SUBTRACT 61 - 0 = 61
		0	0
7	0	6	1	2	6	1
	–	0
		6	1
		–	0
		6	1

STEP 8: BRING DOWN
		0	0
7	0	6	1	2	6	1
	–	0
		6	1
		–	0
		6	1	2

STEP 9: DIVIDE 612 : 70 = 8 with a remainder of 52
		0	0	8
7	0	6	1	2	6	1
	–	0
		6	1
		–	0
		6	1	2

STEP 10: MULTIPLY 8 · 70 = 560
		0	0	8
7	0	6	1	2	6	1
	–	0
		6	1
		–	0
		6	1	2
		5	6	0

STEP 11: SUBTRACT 612 - 560 = 52
		0	0	8
7	0	6	1	2	6	1
	–	0
		6	1
		–	0
		6	1	2
	–	5	6	0
			5	2

STEP 12: BRING DOWN
		0	0	8
7	0	6	1	2	6	1
	–	0
		6	1
		–	0
		6	1	2
	–	5	6	0
			5	2	6

STEP 13: DIVIDE 526 : 70 = 7 with a remainder of 36
		0	0	8	7
7	0	6	1	2	6	1
	–	0
		6	1
		–	0
		6	1	2
	–	5	6	0
			5	2	6

STEP 14: MULTIPLY 7 · 70 = 490
		0	0	8	7
7	0	6	1	2	6	1
	–	0
		6	1
		–	0
		6	1	2
	–	5	6	0
			5	2	6
			4	9	0

STEP 15: SUBTRACT 526 - 490 = 36
		0	0	8	7
7	0	6	1	2	6	1
	–	0
		6	1
		–	0
		6	1	2
	–	5	6	0
			5	2	6
		–	4	9	0
				3	6

STEP 16: BRING DOWN
		0	0	8	7
7	0	6	1	2	6	1
	–	0
		6	1
		–	0
		6	1	2
	–	5	6	0
			5	2	6
		–	4	9	0
				3	6	1

STEP 17: DIVIDE 361 : 70 = 5 with a remainder of 11
		0	0	8	7	5
7	0	6	1	2	6	1
	–	0
		6	1
		–	0
		6	1	2
	–	5	6	0
			5	2	6
		–	4	9	0
				3	6	1

STEP 18: MULTIPLY 5 · 70 = 350
		0	0	8	7	5
7	0	6	1	2	6	1
	–	0
		6	1
		–	0
		6	1	2
	–	5	6	0
			5	2	6
		–	4	9	0
				3	6	1
				3	5	0

STEP 19: SUBTRACT 361 - 350 = 11
		0	0	8	7	5
7	0	6	1	2	6	1
	–	0
		6	1
		–	0
		6	1	2
	–	5	6	0
			5	2	6
		–	4	9	0
				3	6	1
			–	3	5	0
					1	1

STEP 19: SUBTRACT 361 - 350 = 11
		0	0	8	7	5
7	0	6	1	2	6	1
	–	0
		6	1
		–	0
		6	1	2
	–	5	6	0
			5	2	6
		–	4	9	0
				3	6	1
			–	3	5	0
					1	1

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