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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 805 · 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. 1.72035 ÷ 98 =
  2. 2.863651 ÷ 897 =
  3. 3.101475 ÷ 897 =
  4. 4.258909 ÷ 897 =
  5. 5.11992 ÷ 97 =
  6. 6.793113 ÷ 897 =
  7. 7.46193 ÷ 96 =
  8. 8.668070 ÷ 897 =
  9. 9.398455 ÷ 897 =
  10. 10.275344 ÷ 897 =
  11. 11.35609 ÷ 998 =
  12. 12.55774 ÷ 96 =
  13. 13.560896 ÷ 998 =
  14. 14.20864 ÷ 97 =
  15. 15.48878 ÷ 89 =
  16. 16.78761 ÷ 997 =
  17. 17.32298 ÷ 98 =
  18. 18.51136 ÷ 88 =
  19. 19.69270 ÷ 96 =
  20. 20.62414 ÷ 98 =
  21. 21.189915 ÷ 998 =
  22. 22.73780 ÷ 97 =
  23. 23.94058 ÷ 89 =
  24. 24.39656 ÷ 96 =
  25. 25.171301 ÷ 997 =
  26. 26.70237 ÷ 89 =
  27. 27.945805 ÷ 989 =
  28. 28.7958 ÷ 8 =
  29. 29.72243 ÷ 89 =
  30. 30.98273 ÷ 98 =
  31. 31.977057 ÷ 897 =
  32. 32.166894 ÷ 988 =
  33. 33.732892 ÷ 989 =
  34. 34.98834 ÷ 97 =
  35. 35.25557 ÷ 98 =
  36. 36.90193 ÷ 97 =
  37. 37.99301 ÷ 98 =
  38. 38.38519 ÷ 88 =
  39. 39.896284 ÷ 897 =
  40. 40.25658 ÷ 89 =

Answer key

  1. 735 rem 5
  2. 962 rem 737
  3. 113 rem 114
  4. 288 rem 573
  5. 123 rem 61
  6. 884 rem 165
  7. 481 rem 17
  8. 744 rem 702
  9. 444 rem 187
  10. 306 rem 862
  11. 35 rem 679
  12. 580 rem 94
  13. 562 rem 20
  14. 215 rem 9
  15. 549 rem 17
  16. 78 rem 995
  17. 329 rem 56
  18. 581 rem 8
  19. 721 rem 54
  20. 636 rem 86
  21. 190 rem 295
  22. 760 rem 60
  23. 1056 rem 74
  24. 413 rem 8
  25. 171 rem 814
  26. 789 rem 16
  27. 956 rem 321
  28. 994 rem 6
  29. 811 rem 64
  30. 1002 rem 77
  31. 1089 rem 224
  32. 168 rem 910
  33. 741 rem 43
  34. 1018 rem 88
  35. 260 rem 77
  36. 929 rem 80
  37. 1013 rem 27
  38. 437 rem 63
  39. 999 rem 181
  40. 288 rem 26

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