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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 411 · 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. 1.641978 ÷ 997 =
  2. 2.95104 ÷ 97 =
  3. 3.829070 ÷ 988 =
  4. 4.671904 ÷ 997 =
  5. 5.983518 ÷ 998 =
  6. 6.488736 ÷ 998 =
  7. 7.7968 ÷ 8 =
  8. 8.872342 ÷ 897 =
  9. 9.6321 ÷ 8 =
  10. 10.14921 ÷ 98 =
  11. 11.29475 ÷ 97 =
  12. 12.48449 ÷ 97 =
  13. 13.6626 ÷ 8 =
  14. 14.7267 ÷ 8 =
  15. 15.39656 ÷ 998 =
  16. 16.5920 ÷ 8 =
  17. 17.67798 ÷ 97 =
  18. 18.88513 ÷ 97 =
  19. 19.66194 ÷ 88 =
  20. 20.73304 ÷ 98 =
  21. 21.499791 ÷ 998 =
  22. 22.609288 ÷ 988 =
  23. 23.38575 ÷ 96 =
  24. 24.413853 ÷ 997 =
  25. 25.678057 ÷ 998 =
  26. 26.4393 ÷ 8 =
  27. 27.17315 ÷ 96 =
  28. 28.520633 ÷ 897 =
  29. 29.68942 ÷ 88 =
  30. 30.838591 ÷ 988 =
  31. 31.6247 ÷ 97 =
  32. 32.48678 ÷ 97 =
  33. 33.62905 ÷ 88 =
  34. 34.510584 ÷ 997 =
  35. 35.88215 ÷ 988 =
  36. 36.839228 ÷ 989 =
  37. 37.35448 ÷ 89 =
  38. 38.883390 ÷ 989 =
  39. 39.29546 ÷ 97 =
  40. 40.26655 ÷ 88 =

Answer key

  1. 643 rem 907
  2. 980 rem 44
  3. 839 rem 138
  4. 673 rem 923
  5. 985 rem 488
  6. 489 rem 714
  7. 996 rem 0
  8. 972 rem 458
  9. 790 rem 1
  10. 152 rem 25
  11. 303 rem 84
  12. 499 rem 46
  13. 828 rem 2
  14. 908 rem 3
  15. 39 rem 734
  16. 740 rem 0
  17. 698 rem 92
  18. 912 rem 49
  19. 752 rem 18
  20. 748 rem 0
  21. 500 rem 791
  22. 616 rem 680
  23. 401 rem 79
  24. 415 rem 98
  25. 679 rem 415
  26. 549 rem 1
  27. 180 rem 35
  28. 580 rem 373
  29. 783 rem 38
  30. 848 rem 767
  31. 64 rem 39
  32. 501 rem 81
  33. 714 rem 73
  34. 512 rem 120
  35. 89 rem 283
  36. 848 rem 556
  37. 398 rem 26
  38. 893 rem 213
  39. 304 rem 58
  40. 302 rem 79

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