Enter 2 numbers below:
Calculate the partial quotient: 514 ÷ 28:Multiply the denominator by factors of 10, 5, 2, and 1
| 2 | 8 | 5 | 1 | 4 | ||||||
| 2 | 8 | 0 | 10 | <---- 10 x 28 = 280 | ||||||
| 2 | 3 | 4 | <---- 514 - 280 = 234 |
| 2 | 8 | 5 | 1 | 4 | ||||||
| 2 | 8 | 0 | 10 | |||||||
| 2 | 3 | 4 | ||||||||
| 1 | 4 | 0 | 5 | <---- 5 x 28 = 140 | ||||||
| 9 | 4 | <---- 234 - 140 = 94 |
| 2 | 8 | 5 | 1 | 4 | ||||||
| 2 | 8 | 0 | 10 | |||||||
| 2 | 3 | 4 | ||||||||
| 1 | 4 | 0 | 5 | |||||||
| 9 | 4 | |||||||||
| 5 | 6 | 2 | <---- 2 x 28 = 56 | |||||||
| 3 | 8 | <---- 94 - 56 = 38 |
| 2 | 8 | 5 | 1 | 4 | ||||||
| 2 | 8 | 0 | 10 | |||||||
| 2 | 3 | 4 | ||||||||
| 1 | 4 | 0 | 5 | |||||||
| 9 | 4 | |||||||||
| 5 | 6 | 2 | ||||||||
| 3 | 8 | |||||||||
| 2 | 8 | 1 | <---- 1 x 28 = 28 | |||||||
| 1 | 0 | <---- 38 - 28 = 10 |
Add the partial quotients:
10 + 5 + 2 + 1 = 1810 leftover, and no more numbers to bring down
We have our remainder term:
| 0 | 1 | 8 | R 10 |
Remainder as Fraction:
| Remainder = | 10 |
| 28 |
Our fraction portion is not reduced down completely. Using our GCF calculator, we see the Greatest Common Factor (GCF) of 10 and 28 is 2.
Dividing numerator and denominator by GCF
| Numerator = | 10 |
| 2 |
Numerator: = 5
| Denominator = | 28 |
| 2 |
Denominator: = 14
18 & 5/14
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Excel or Google Sheets formula:
Excel or Google Sheets formula:=CONCATENATE(INT(514/28)," r ",MOD(514,28))What is the Answer?
How does the Partial Quotient Calculator work?
Free Partial Quotient Calculator - Divides 2 numbers using the Partial Quotient
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What 7 concepts are covered in the Partial Quotient Calculator?
denominatorThe bottom portion of a fraction. For a/b, b is the denominatordivisionseparate a number into partsnumberan arithmetical value, expressed by a word, symbol, or figure, representing a particular quantity and used in counting and making calculations and for showing order in a series or for identification. A quantity or amount.numeratorthe number above the line in a common fractionpartial quotientA division algorithmquotientThe result of dividing two expressions.remainderThe portion of a division operation leftover after dividing two integersExample calculations for the Partial Quotient Calculator
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Excel or Google Sheets formula:
Excel or Google Sheets formula:=514 ÷ 28ncG1vNJzZmivp6x7rq3ToZqepJWXv6rA2GeaqKVfpa6zwMiao2appaTBqrHNrWWpoKB0u7a5kHZsamxWo8Kufpxrb1%2BonHKdor7TopilY4GqvLW1xKer