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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 267 · 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. 1.642737 ÷ 997 =
  2. 2.73044 ÷ 97 =
  3. 3.8130 ÷ 8 =
  4. 4.432609 ÷ 989 =
  5. 5.22497 ÷ 97 =
  6. 6.146590 ÷ 998 =
  7. 7.9593 ÷ 8 =
  8. 8.688717 ÷ 988 =
  9. 9.383725 ÷ 988 =
  10. 10.76219 ÷ 96 =
  11. 11.63258 ÷ 98 =
  12. 12.12293 ÷ 89 =
  13. 13.7166 ÷ 8 =
  14. 14.35262 ÷ 97 =
  15. 15.87505 ÷ 98 =
  16. 16.126221 ÷ 997 =
  17. 17.7174 ÷ 8 =
  18. 18.777284 ÷ 988 =
  19. 19.87107 ÷ 89 =
  20. 20.68767 ÷ 88 =
  21. 21.63755 ÷ 988 =
  22. 22.2787 ÷ 8 =
  23. 23.563331 ÷ 997 =
  24. 24.5016 ÷ 89 =
  25. 25.522840 ÷ 997 =
  26. 26.7169 ÷ 98 =
  27. 27.1797 ÷ 8 =
  28. 28.422999 ÷ 997 =
  29. 29.79836 ÷ 88 =
  30. 30.29390 ÷ 989 =
  31. 31.865 ÷ 8 =
  32. 32.240017 ÷ 998 =
  33. 33.20357 ÷ 97 =
  34. 34.471954 ÷ 989 =
  35. 35.20732 ÷ 89 =
  36. 36.43214 ÷ 97 =
  37. 37.32077 ÷ 89 =
  38. 38.1043 ÷ 98 =
  39. 39.294938 ÷ 997 =
  40. 40.73963 ÷ 96 =

Answer key

  1. 644 rem 669
  2. 753 rem 3
  3. 1016 rem 2
  4. 437 rem 416
  5. 231 rem 90
  6. 146 rem 882
  7. 1199 rem 1
  8. 697 rem 81
  9. 388 rem 381
  10. 793 rem 91
  11. 645 rem 48
  12. 138 rem 11
  13. 895 rem 6
  14. 363 rem 51
  15. 892 rem 89
  16. 126 rem 599
  17. 896 rem 6
  18. 786 rem 716
  19. 978 rem 65
  20. 781 rem 39
  21. 64 rem 523
  22. 348 rem 3
  23. 565 rem 26
  24. 56 rem 32
  25. 524 rem 412
  26. 73 rem 15
  27. 224 rem 5
  28. 424 rem 271
  29. 907 rem 20
  30. 29 rem 709
  31. 108 rem 1
  32. 240 rem 497
  33. 209 rem 84
  34. 477 rem 201
  35. 232 rem 84
  36. 445 rem 49
  37. 360 rem 37
  38. 10 rem 63
  39. 295 rem 823
  40. 770 rem 43

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