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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 592 · 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. 1.639212 ÷ 997 =
  2. 2.32326 ÷ 98 =
  3. 3.42255 ÷ 97 =
  4. 4.11030 ÷ 89 =
  5. 5.955326 ÷ 897 =
  6. 6.92472 ÷ 89 =
  7. 7.10106 ÷ 88 =
  8. 8.39629 ÷ 89 =
  9. 9.22478 ÷ 96 =
  10. 10.5440 ÷ 98 =
  11. 11.62561 ÷ 89 =
  12. 12.4909 ÷ 8 =
  13. 13.77446 ÷ 88 =
  14. 14.6133 ÷ 98 =
  15. 15.7005 ÷ 98 =
  16. 16.35619 ÷ 89 =
  17. 17.751721 ÷ 897 =
  18. 18.789214 ÷ 897 =
  19. 19.801190 ÷ 997 =
  20. 20.53279 ÷ 97 =
  21. 21.643601 ÷ 997 =
  22. 22.3376 ÷ 8 =
  23. 23.737 ÷ 8 =
  24. 24.10552 ÷ 98 =
  25. 25.1120 ÷ 98 =
  26. 26.28509 ÷ 96 =
  27. 27.543603 ÷ 998 =
  28. 28.128582 ÷ 897 =
  29. 29.650349 ÷ 997 =
  30. 30.554676 ÷ 989 =
  31. 31.507129 ÷ 998 =
  32. 32.699477 ÷ 997 =
  33. 33.781156 ÷ 988 =
  34. 34.25381 ÷ 96 =
  35. 35.241569 ÷ 988 =
  36. 36.35106 ÷ 89 =
  37. 37.420622 ÷ 997 =
  38. 38.353025 ÷ 997 =
  39. 39.90496 ÷ 97 =
  40. 40.80865 ÷ 89 =

Answer key

  1. 641 rem 135
  2. 329 rem 84
  3. 435 rem 60
  4. 123 rem 83
  5. 1065 rem 21
  6. 1039 rem 1
  7. 114 rem 74
  8. 445 rem 24
  9. 234 rem 14
  10. 55 rem 50
  11. 702 rem 83
  12. 613 rem 5
  13. 880 rem 6
  14. 62 rem 57
  15. 71 rem 47
  16. 400 rem 19
  17. 838 rem 35
  18. 879 rem 751
  19. 803 rem 599
  20. 549 rem 26
  21. 645 rem 536
  22. 422 rem 0
  23. 92 rem 1
  24. 107 rem 66
  25. 11 rem 42
  26. 296 rem 93
  27. 544 rem 691
  28. 143 rem 311
  29. 652 rem 305
  30. 560 rem 836
  31. 508 rem 145
  32. 701 rem 580
  33. 790 rem 636
  34. 264 rem 37
  35. 244 rem 497
  36. 394 rem 40
  37. 421 rem 885
  38. 354 rem 87
  39. 932 rem 92
  40. 908 rem 53

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