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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 521 · 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. 1.94927 ÷ 98 =
  2. 2.4116 ÷ 88 =
  3. 3.568219 ÷ 897 =
  4. 4.92633 ÷ 98 =
  5. 5.584096 ÷ 897 =
  6. 6.631048 ÷ 988 =
  7. 7.16785 ÷ 96 =
  8. 8.742672 ÷ 997 =
  9. 9.245835 ÷ 989 =
  10. 10.266352 ÷ 998 =
  11. 11.13246 ÷ 88 =
  12. 12.436781 ÷ 997 =
  13. 13.168127 ÷ 989 =
  14. 14.70320 ÷ 897 =
  15. 15.6348 ÷ 8 =
  16. 16.9929 ÷ 98 =
  17. 17.848558 ÷ 988 =
  18. 18.203034 ÷ 897 =
  19. 19.32976 ÷ 897 =
  20. 20.5898 ÷ 8 =
  21. 21.55060 ÷ 89 =
  22. 22.864497 ÷ 897 =
  23. 23.844268 ÷ 989 =
  24. 24.383866 ÷ 997 =
  25. 25.40848 ÷ 98 =
  26. 26.317 ÷ 8 =
  27. 27.462196 ÷ 998 =
  28. 28.215330 ÷ 989 =
  29. 29.21256 ÷ 97 =
  30. 30.570207 ÷ 897 =
  31. 31.107044 ÷ 989 =
  32. 32.925424 ÷ 998 =
  33. 33.76308 ÷ 97 =
  34. 34.81171 ÷ 89 =
  35. 35.88996 ÷ 96 =
  36. 36.21469 ÷ 96 =
  37. 37.420629 ÷ 988 =
  38. 38.124850 ÷ 989 =
  39. 39.520538 ÷ 897 =
  40. 40.27862 ÷ 89 =

Answer key

  1. 968 rem 63
  2. 46 rem 68
  3. 633 rem 418
  4. 945 rem 23
  5. 651 rem 149
  6. 638 rem 704
  7. 174 rem 81
  8. 744 rem 904
  9. 248 rem 563
  10. 266 rem 884
  11. 150 rem 46
  12. 438 rem 95
  13. 169 rem 986
  14. 78 rem 354
  15. 793 rem 4
  16. 101 rem 31
  17. 858 rem 854
  18. 226 rem 312
  19. 36 rem 684
  20. 737 rem 2
  21. 618 rem 58
  22. 963 rem 686
  23. 853 rem 651
  24. 385 rem 21
  25. 416 rem 80
  26. 39 rem 5
  27. 463 rem 122
  28. 217 rem 717
  29. 219 rem 13
  30. 635 rem 612
  31. 108 rem 232
  32. 927 rem 278
  33. 786 rem 66
  34. 912 rem 3
  35. 927 rem 4
  36. 223 rem 61
  37. 425 rem 729
  38. 126 rem 236
  39. 580 rem 278
  40. 313 rem 5

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