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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 21 · 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. 1.477002 ÷ 897 =
  2. 2.7614 ÷ 89 =
  3. 3.8298 ÷ 8 =
  4. 4.27252 ÷ 98 =
  5. 5.44942 ÷ 97 =
  6. 6.120718 ÷ 897 =
  7. 7.75151 ÷ 96 =
  8. 8.38976 ÷ 98 =
  9. 9.943519 ÷ 897 =
  10. 10.701357 ÷ 998 =
  11. 11.565199 ÷ 998 =
  12. 12.631962 ÷ 997 =
  13. 13.79241 ÷ 97 =
  14. 14.6049 ÷ 96 =
  15. 15.77638 ÷ 98 =
  16. 16.28360 ÷ 98 =
  17. 17.34218 ÷ 98 =
  18. 18.22551 ÷ 98 =
  19. 19.120526 ÷ 897 =
  20. 20.10897 ÷ 96 =
  21. 21.446670 ÷ 897 =
  22. 22.826975 ÷ 897 =
  23. 23.87743 ÷ 98 =
  24. 24.4248 ÷ 8 =
  25. 25.708414 ÷ 988 =
  26. 26.704149 ÷ 988 =
  27. 27.17788 ÷ 98 =
  28. 28.91844 ÷ 96 =
  29. 29.71872 ÷ 89 =
  30. 30.96646 ÷ 89 =
  31. 31.89694 ÷ 97 =
  32. 32.369265 ÷ 897 =
  33. 33.132419 ÷ 998 =
  34. 34.5130 ÷ 97 =
  35. 35.91532 ÷ 89 =
  36. 36.87563 ÷ 89 =
  37. 37.75124 ÷ 98 =
  38. 38.9039 ÷ 8 =
  39. 39.35399 ÷ 96 =
  40. 40.80258 ÷ 88 =

Answer key

  1. 531 rem 695
  2. 85 rem 49
  3. 1037 rem 2
  4. 278 rem 8
  5. 463 rem 31
  6. 134 rem 520
  7. 782 rem 79
  8. 397 rem 70
  9. 1051 rem 772
  10. 702 rem 761
  11. 566 rem 331
  12. 633 rem 861
  13. 816 rem 89
  14. 63 rem 1
  15. 792 rem 22
  16. 289 rem 38
  17. 349 rem 16
  18. 230 rem 11
  19. 134 rem 328
  20. 113 rem 49
  21. 497 rem 861
  22. 921 rem 838
  23. 895 rem 33
  24. 531 rem 0
  25. 717 rem 18
  26. 712 rem 693
  27. 181 rem 50
  28. 956 rem 68
  29. 807 rem 49
  30. 1085 rem 81
  31. 924 rem 66
  32. 411 rem 598
  33. 132 rem 683
  34. 52 rem 86
  35. 1028 rem 40
  36. 983 rem 76
  37. 766 rem 56
  38. 1129 rem 7
  39. 368 rem 71
  40. 912 rem 2

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