120 divided by 7 equals 17 with a remainder of 1. As a decimal, 120 Ć· 7 = 17.142857142857... (a repeating decimal). As a mixed fraction, it is 17 1/7. This division cannot be done exactly because 7 does not divide into 120 evenly ā it leaves a remainder of 1.
120 Ć· 7 = 17 remainder 1.
As a decimal: 17.142857... (repeating decimal, block: 142857).
As a mixed fraction: 17 1/7.
As an improper fraction: 120/7.
Verification: 7 Ć 17 + 1 = 119 + 1 = 120 ā
7 Ć 17 = 119 (closest multiple of 7 below 120).
The decimal 0.142857... is the repeating decimal for 1/7.
Setting up: 120 Ć· 7
Step 1: How many times does 7 go into 12? 7 Ć 1 = 7 7 Ć 2 = 14 (too large) So 7 goes into 12 once (1 time). Write 1 in the quotient. 12 ā 7 = 5 (remainder)
Step 2: Bring down the next digit (0). New number = 50. How many times does 7 go into 50? 7 Ć 7 = 49 7 Ć 8 = 56 (too large) So 7 goes into 50 seven times (7 times). Write 7 in the quotient. 50 ā 49 = 1 (remainder)
Result: Quotient = 17, Remainder = 1
Verification: 7 Ć 17 + 1 = 119 + 1 = 120 ā
As a decimal: 120 Ć· 7 = 17.142857142857... This is a recurring (repeating) decimal. The repeating block is 142857 ā it repeats infinitely: 17.142857Ģ
As a mixed fraction: 120 Ć· 7 = 17 remainder 1 Mixed fraction = 17 1/7
As an improper fraction: 120/7 (already in simplest form ā HCF of 120 and 7 is 1)
Approximate decimal value: 120 Ć· 7 ā 17.14 (rounded to 2 decimal places) 120 Ć· 7 ā 17.143 (rounded to 3 decimal places)
Note on 142857 ā the cyclic number: 1/7 = 0.142857142857... This repeating block (142857) is a special cyclic number with interesting mathematical properties.
Multiples of 7 near 120: 7 Ć 15 = 105 7 Ć 16 = 112 7 Ć 17 = 119 ā closest without exceeding 120 7 Ć 18 = 126 ā exceeds 120
So 7 Ć 17 = 119 ā 120 ā 119 = 1 (remainder)
Comparison: ā¢ 119 Ć· 7 = 17 exactly (no remainder) ā¢ 120 Ć· 7 = 17 remainder 1 ā¢ 126 Ć· 7 = 18 exactly (no remainder)
Other divisions of 120: ā¢ 120 Ć· 2 = 60 ā¢ 120 Ć· 3 = 40 ā¢ 120 Ć· 4 = 30 ā¢ 120 Ć· 5 = 24 ā¢ 120 Ć· 6 = 20 ā¢ 120 Ć· 7 = 17.14... ā¢ 120 Ć· 8 = 15 ā¢ 120 Ć· 10 = 12
120 divided by 7 = 17 remainder 1. As a decimal: 17.142857... (repeating). As a mixed fraction: 17 1/7. Since 7 Ć 17 = 119 and 120 ā 119 = 1, the quotient is 17 with remainder 1.
120 Ć· 7 = 17.142857142857... This is a recurring decimal ā the block 142857 repeats infinitely. Rounded to 2 decimal places: 17.14.
120 Ć· 7 = 120/7 as an improper fraction, or 17 1/7 as a mixed number. The fraction 120/7 is already in its simplest form since HCF(120, 7) = 1.
The remainder when 120 is divided by 7 is 1. Since 7 Ć 17 = 119 and 120 ā 119 = 1, the quotient is 17 and the remainder is 1.
Square Root of 1.04 ā Value and Calculation
Square root of 1.04 ā 1.0198. Methods: approximation formula ā(1+x) ā 1+x/2, and exact method. Step-by-step calculation.
Square Root of 44100 by Long Division Method
The square root of 44100 is 210. Find ā44100 by long division method step by step. Also verified by prime factorisation: 44100 = 2Ā²Ć3Ā²Ć5Ā²Ć7Ā².
What is the Square Root of 5? (Value & Calculation)
Learn the exact mathematical value of the square root of 5 (ā5 = 2.236). Discover why it is an irrational number and how to calculate it using Long Division.
Squares and Cubes from 1 to 50
Get a handy reference list of squares and cubes from 1 to 50. Learn the difference between squaring and cubing a number for math calculations.
List of Squares from 1 to 40
Get the complete list of squares from 1 to 40. Memorizing this table helps students solve algebra, geometry, and competitive exam calculations faster.
Turn this guide into revision flashcards, a practice exam, or an AI-generated podcast ā free, no signup required.