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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 137 · 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. 1.32238 ÷ 97 =
  2. 2.52942 ÷ 98 =
  3. 3.529820 ÷ 989 =
  4. 4.45798 ÷ 88 =
  5. 5.519850 ÷ 989 =
  6. 6.303687 ÷ 998 =
  7. 7.90842 ÷ 97 =
  8. 8.50008 ÷ 97 =
  9. 9.6781 ÷ 8 =
  10. 10.940040 ÷ 997 =
  11. 11.61440 ÷ 89 =
  12. 12.41640 ÷ 88 =
  13. 13.9327 ÷ 8 =
  14. 14.122421 ÷ 897 =
  15. 15.89747 ÷ 96 =
  16. 16.5905 ÷ 97 =
  17. 17.91869 ÷ 96 =
  18. 18.424904 ÷ 897 =
  19. 19.80851 ÷ 98 =
  20. 20.6651 ÷ 98 =
  21. 21.294 ÷ 8 =
  22. 22.58488 ÷ 88 =
  23. 23.3760 ÷ 8 =
  24. 24.69431 ÷ 97 =
  25. 25.23531 ÷ 88 =
  26. 26.53785 ÷ 989 =
  27. 27.58890 ÷ 88 =
  28. 28.600324 ÷ 988 =
  29. 29.6493 ÷ 8 =
  30. 30.40490 ÷ 98 =
  31. 31.890871 ÷ 897 =
  32. 32.2858 ÷ 8 =
  33. 33.9692 ÷ 97 =
  34. 34.30295 ÷ 98 =
  35. 35.630587 ÷ 988 =
  36. 36.80793 ÷ 96 =
  37. 37.617073 ÷ 998 =
  38. 38.59248 ÷ 988 =
  39. 39.126109 ÷ 997 =
  40. 40.695659 ÷ 998 =

Answer key

  1. 332 rem 34
  2. 540 rem 22
  3. 535 rem 705
  4. 520 rem 38
  5. 525 rem 625
  6. 304 rem 295
  7. 936 rem 50
  8. 515 rem 53
  9. 847 rem 5
  10. 942 rem 866
  11. 690 rem 30
  12. 473 rem 16
  13. 1165 rem 7
  14. 136 rem 429
  15. 934 rem 83
  16. 60 rem 85
  17. 956 rem 93
  18. 473 rem 623
  19. 825 rem 1
  20. 67 rem 85
  21. 36 rem 6
  22. 664 rem 56
  23. 470 rem 0
  24. 715 rem 76
  25. 267 rem 35
  26. 54 rem 379
  27. 669 rem 18
  28. 607 rem 608
  29. 811 rem 5
  30. 413 rem 16
  31. 993 rem 150
  32. 357 rem 2
  33. 99 rem 89
  34. 309 rem 13
  35. 638 rem 243
  36. 841 rem 57
  37. 618 rem 309
  38. 59 rem 956
  39. 126 rem 487
  40. 697 rem 53

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