Elementary arithmetic, with brief notices of its history... by Robert Potts.

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4. 287460000 by 687000, and 28400 by 169.
5. 1000000 by 1001, and 40012805 by 287000.
6. 1809456 by the sum of 2845, 1070, and 35'78.
7. 2100000 by the difference between 2500 and 5200.
8. 278459675 by 9, 99, 999, 9999, and 99999 respectively.
VII.
1. If the quotient be 5000 when the divisor is 2001 and the
remainder 100, what is the dividend?
2. What number divided by 528 will give 36 for the quotient and
leave 44 as a remainder?
3. If the dividend be 784622 and the quotient be 4044, what is the
divisor and the remainder?
4. If the quotient be 194, the divisor 4044, and the remainder 87,
what is the dividend?
5. If the divisor be half the quotient, and the quotient three tines
the remainder, what is the dividend when the remainder is 10000?
6. If the divisor be seven times, and the quotient ten times the
remainder, what is the dividend when the remainder is 1234?
7. The quotient is equal to 6 times the divisor, and the divisor to
6 times the remainder, and the three together amount to 516; find the
dividend.
VIII.
1. Divide the product of the nine digits by their sum.
2. What number multiplied by 64 produces one million?
3. Multiply 50738 by 4620, and verify the result by dividing the
product by the factors of the multiplier.
4. The product of two numbers is 1270630, and half of one of
them is 3129; what is the other number?
5. Add together the sum, difference, product, and quotient of
the two numbers 825 and 9318375.
6. What are the two nearest numbers in excess and defect to
1376429, which can be divided by 36300 without remainder?
7. Multiply 438375 by 287298, and divide the result by 12375.
8. What number divided by 37 will give the same quotient as
816405 divided by 111.
9. What number is that which when increased 13 times itself
amounts to 20005006?
IX.
1. The product of two numbers is 760069388, one of them being
26078; shew that their sum divided by 1534 is 36.
2. Find the least number which must be added to 78421 to make
it an exact multiple of 245.
3. Shew that the sum of all the numbers which can be formed by
any three figures, as 2, 5, 6, taken together, is divisible by the sumu
of the three figures 2, 5, and 6.