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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 99 · 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. 1.361875 ÷ 998 =
  2. 2.38341 ÷ 897 =
  3. 3.84069 ÷ 97 =
  4. 4.6915 ÷ 8 =
  5. 5.2042 ÷ 98 =
  6. 6.5244 ÷ 8 =
  7. 7.295225 ÷ 997 =
  8. 8.964263 ÷ 989 =
  9. 9.923707 ÷ 897 =
  10. 10.4300 ÷ 88 =
  11. 11.6085 ÷ 88 =
  12. 12.8148 ÷ 8 =
  13. 13.35849 ÷ 98 =
  14. 14.75502 ÷ 96 =
  15. 15.37243 ÷ 98 =
  16. 16.664215 ÷ 997 =
  17. 17.64110 ÷ 89 =
  18. 18.100162 ÷ 989 =
  19. 19.76655 ÷ 98 =
  20. 20.556094 ÷ 988 =
  21. 21.38861 ÷ 989 =
  22. 22.36588 ÷ 98 =
  23. 23.885508 ÷ 897 =
  24. 24.930365 ÷ 997 =
  25. 25.13502 ÷ 97 =
  26. 26.2958 ÷ 8 =
  27. 27.30296 ÷ 89 =
  28. 28.429615 ÷ 998 =
  29. 29.80115 ÷ 98 =
  30. 30.8804 ÷ 88 =
  31. 31.727881 ÷ 988 =
  32. 32.78825 ÷ 96 =
  33. 33.564501 ÷ 897 =
  34. 34.6293 ÷ 8 =
  35. 35.84718 ÷ 96 =
  36. 36.59929 ÷ 97 =
  37. 37.239649 ÷ 989 =
  38. 38.215657 ÷ 998 =
  39. 39.49271 ÷ 97 =
  40. 40.312445 ÷ 997 =

Answer key

  1. 362 rem 599
  2. 42 rem 667
  3. 866 rem 67
  4. 864 rem 3
  5. 20 rem 82
  6. 655 rem 4
  7. 296 rem 113
  8. 974 rem 977
  9. 1029 rem 694
  10. 48 rem 76
  11. 69 rem 13
  12. 1018 rem 4
  13. 365 rem 79
  14. 786 rem 46
  15. 380 rem 3
  16. 666 rem 213
  17. 720 rem 30
  18. 101 rem 273
  19. 782 rem 19
  20. 562 rem 838
  21. 39 rem 290
  22. 373 rem 34
  23. 987 rem 169
  24. 933 rem 164
  25. 139 rem 19
  26. 369 rem 6
  27. 340 rem 36
  28. 430 rem 475
  29. 817 rem 49
  30. 100 rem 4
  31. 736 rem 713
  32. 821 rem 9
  33. 629 rem 288
  34. 786 rem 5
  35. 882 rem 46
  36. 617 rem 80
  37. 242 rem 311
  38. 216 rem 89
  39. 507 rem 92
  40. 313 rem 384

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