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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 464 · 40 sums
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The trick (Nikhilam Navatashcaramam Dashatah): Write the complement of the divisor (8 → 2, 97 → 03, 88 → 12, 997 → 003, 897 → 103). Split off as many last digits as the base has zeros (1 for 8, 2 for 88, 3 for 997) — that is the remainder part. Bring down each column total, multiply it by the complement, and add the result under the next column(s). If the remainder is not smaller than the divisor, divide it again and add to the quotient.

NameDateTime takenScore ___ / 40
  1. 1.146770 ÷ 998 =
  2. 2.192529 ÷ 989 =
  3. 3.31991 ÷ 98 =
  4. 4.3444 ÷ 96 =
  5. 5.19388 ÷ 89 =
  6. 6.47528 ÷ 88 =
  7. 7.921741 ÷ 997 =
  8. 8.253711 ÷ 997 =
  9. 9.165858 ÷ 988 =
  10. 10.63083 ÷ 89 =
  11. 11.542513 ÷ 997 =
  12. 12.68834 ÷ 89 =
  13. 13.16259 ÷ 998 =
  14. 14.3723 ÷ 88 =
  15. 15.21821 ÷ 97 =
  16. 16.123011 ÷ 989 =
  17. 17.280 ÷ 8 =
  18. 18.436857 ÷ 998 =
  19. 19.6971 ÷ 89 =
  20. 20.6442 ÷ 98 =
  21. 21.64352 ÷ 96 =
  22. 22.177633 ÷ 989 =
  23. 23.44401 ÷ 988 =
  24. 24.413452 ÷ 998 =
  25. 25.55196 ÷ 97 =
  26. 26.33359 ÷ 98 =
  27. 27.37066 ÷ 98 =
  28. 28.88219 ÷ 88 =
  29. 29.600669 ÷ 897 =
  30. 30.8094 ÷ 8 =
  31. 31.40469 ÷ 88 =
  32. 32.63453 ÷ 96 =
  33. 33.65223 ÷ 97 =
  34. 34.4062 ÷ 8 =
  35. 35.61761 ÷ 89 =
  36. 36.45384 ÷ 96 =
  37. 37.137157 ÷ 998 =
  38. 38.763566 ÷ 998 =
  39. 39.21423 ÷ 88 =
  40. 40.9181 ÷ 8 =

Answer key

  1. 147 rem 64
  2. 194 rem 663
  3. 326 rem 43
  4. 35 rem 84
  5. 217 rem 75
  6. 540 rem 8
  7. 924 rem 513
  8. 254 rem 473
  9. 167 rem 862
  10. 708 rem 71
  11. 544 rem 145
  12. 773 rem 37
  13. 16 rem 291
  14. 42 rem 27
  15. 224 rem 93
  16. 124 rem 375
  17. 35 rem 0
  18. 437 rem 731
  19. 78 rem 29
  20. 65 rem 72
  21. 670 rem 32
  22. 179 rem 602
  23. 44 rem 929
  24. 414 rem 280
  25. 569 rem 3
  26. 340 rem 39
  27. 378 rem 22
  28. 1002 rem 43
  29. 669 rem 576
  30. 1011 rem 6
  31. 459 rem 77
  32. 660 rem 93
  33. 672 rem 39
  34. 507 rem 6
  35. 693 rem 84
  36. 472 rem 72
  37. 137 rem 431
  38. 765 rem 96
  39. 243 rem 39
  40. 1147 rem 5

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