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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 886 · 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. 1.17225 ÷ 96 =
  2. 2.571245 ÷ 988 =
  3. 3.183336 ÷ 988 =
  4. 4.61094 ÷ 88 =
  5. 5.462732 ÷ 988 =
  6. 6.799 ÷ 8 =
  7. 7.956423 ÷ 989 =
  8. 8.600872 ÷ 897 =
  9. 9.40328 ÷ 97 =
  10. 10.49297 ÷ 97 =
  11. 11.6714 ÷ 89 =
  12. 12.925410 ÷ 988 =
  13. 13.499229 ÷ 988 =
  14. 14.48573 ÷ 98 =
  15. 15.54508 ÷ 88 =
  16. 16.526832 ÷ 989 =
  17. 17.299676 ÷ 989 =
  18. 18.14243 ÷ 89 =
  19. 19.21310 ÷ 897 =
  20. 20.36347 ÷ 96 =
  21. 21.83022 ÷ 88 =
  22. 22.226122 ÷ 988 =
  23. 23.57197 ÷ 89 =
  24. 24.385422 ÷ 997 =
  25. 25.6177 ÷ 97 =
  26. 26.23711 ÷ 96 =
  27. 27.52266 ÷ 97 =
  28. 28.69803 ÷ 96 =
  29. 29.749636 ÷ 989 =
  30. 30.76330 ÷ 88 =
  31. 31.814972 ÷ 988 =
  32. 32.25613 ÷ 97 =
  33. 33.715 ÷ 8 =
  34. 34.830170 ÷ 989 =
  35. 35.7064 ÷ 8 =
  36. 36.13423 ÷ 96 =
  37. 37.39732 ÷ 96 =
  38. 38.3136 ÷ 8 =
  39. 39.2123 ÷ 98 =
  40. 40.4592 ÷ 96 =

Answer key

  1. 179 rem 41
  2. 578 rem 181
  3. 185 rem 556
  4. 694 rem 22
  5. 468 rem 348
  6. 99 rem 7
  7. 967 rem 60
  8. 669 rem 779
  9. 415 rem 73
  10. 508 rem 21
  11. 75 rem 39
  12. 936 rem 642
  13. 505 rem 289
  14. 495 rem 63
  15. 619 rem 36
  16. 532 rem 684
  17. 303 rem 9
  18. 160 rem 3
  19. 23 rem 679
  20. 378 rem 59
  21. 943 rem 38
  22. 228 rem 858
  23. 642 rem 59
  24. 386 rem 580
  25. 63 rem 66
  26. 246 rem 95
  27. 538 rem 80
  28. 727 rem 11
  29. 757 rem 963
  30. 867 rem 34
  31. 824 rem 860
  32. 264 rem 5
  33. 89 rem 3
  34. 839 rem 399
  35. 883 rem 0
  36. 139 rem 79
  37. 413 rem 84
  38. 392 rem 0
  39. 21 rem 65
  40. 47 rem 80

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