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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 368 · 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. 1.4483 ÷ 8 =
  2. 2.82886 ÷ 89 =
  3. 3.188024 ÷ 989 =
  4. 4.80922 ÷ 97 =
  5. 5.4219 ÷ 8 =
  6. 6.71117 ÷ 88 =
  7. 7.83594 ÷ 98 =
  8. 8.584272 ÷ 989 =
  9. 9.5965 ÷ 96 =
  10. 10.940654 ÷ 998 =
  11. 11.633572 ÷ 998 =
  12. 12.3943 ÷ 8 =
  13. 13.63944 ÷ 89 =
  14. 14.639037 ÷ 897 =
  15. 15.78217 ÷ 96 =
  16. 16.72444 ÷ 88 =
  17. 17.418114 ÷ 998 =
  18. 18.65253 ÷ 97 =
  19. 19.304483 ÷ 998 =
  20. 20.988799 ÷ 988 =
  21. 21.400165 ÷ 988 =
  22. 22.22822 ÷ 98 =
  23. 23.575831 ÷ 988 =
  24. 24.630206 ÷ 988 =
  25. 25.57393 ÷ 897 =
  26. 26.4773 ÷ 89 =
  27. 27.91694 ÷ 89 =
  28. 28.65107 ÷ 88 =
  29. 29.8061 ÷ 97 =
  30. 30.869407 ÷ 989 =
  31. 31.57672 ÷ 96 =
  32. 32.44325 ÷ 97 =
  33. 33.74688 ÷ 88 =
  34. 34.67226 ÷ 96 =
  35. 35.221391 ÷ 989 =
  36. 36.90020 ÷ 98 =
  37. 37.97275 ÷ 89 =
  38. 38.7503 ÷ 89 =
  39. 39.149931 ÷ 989 =
  40. 40.52970 ÷ 89 =

Answer key

  1. 560 rem 3
  2. 931 rem 27
  3. 190 rem 114
  4. 834 rem 24
  5. 527 rem 3
  6. 808 rem 13
  7. 853 rem 0
  8. 590 rem 762
  9. 62 rem 13
  10. 942 rem 538
  11. 634 rem 840
  12. 492 rem 7
  13. 718 rem 42
  14. 712 rem 373
  15. 814 rem 73
  16. 823 rem 20
  17. 418 rem 950
  18. 672 rem 69
  19. 305 rem 93
  20. 1000 rem 799
  21. 405 rem 25
  22. 232 rem 86
  23. 582 rem 815
  24. 637 rem 850
  25. 63 rem 882
  26. 53 rem 56
  27. 1030 rem 24
  28. 739 rem 75
  29. 83 rem 10
  30. 879 rem 76
  31. 600 rem 72
  32. 456 rem 93
  33. 848 rem 64
  34. 700 rem 26
  35. 223 rem 844
  36. 918 rem 56
  37. 1092 rem 87
  38. 84 rem 27
  39. 151 rem 592
  40. 595 rem 15

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