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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 836 · 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. 1.12074 ÷ 97 =
  2. 2.256706 ÷ 989 =
  3. 3.27631 ÷ 98 =
  4. 4.13458 ÷ 88 =
  5. 5.324976 ÷ 998 =
  6. 6.910282 ÷ 997 =
  7. 7.211080 ÷ 998 =
  8. 8.11712 ÷ 88 =
  9. 9.304667 ÷ 897 =
  10. 10.314578 ÷ 989 =
  11. 11.141039 ÷ 989 =
  12. 12.229485 ÷ 897 =
  13. 13.144285 ÷ 897 =
  14. 14.84448 ÷ 89 =
  15. 15.582624 ÷ 989 =
  16. 16.74070 ÷ 97 =
  17. 17.724659 ÷ 989 =
  18. 18.483306 ÷ 988 =
  19. 19.882305 ÷ 997 =
  20. 20.8401 ÷ 8 =
  21. 21.95569 ÷ 88 =
  22. 22.3258 ÷ 96 =
  23. 23.8102 ÷ 97 =
  24. 24.567443 ÷ 997 =
  25. 25.69866 ÷ 89 =
  26. 26.1580 ÷ 8 =
  27. 27.96231 ÷ 89 =
  28. 28.98651 ÷ 96 =
  29. 29.73917 ÷ 98 =
  30. 30.77883 ÷ 98 =
  31. 31.866398 ÷ 988 =
  32. 32.356940 ÷ 989 =
  33. 33.61231 ÷ 88 =
  34. 34.315314 ÷ 998 =
  35. 35.316839 ÷ 998 =
  36. 36.25063 ÷ 88 =
  37. 37.13490 ÷ 97 =
  38. 38.6942 ÷ 8 =
  39. 39.78299 ÷ 96 =
  40. 40.85895 ÷ 96 =

Answer key

  1. 124 rem 46
  2. 259 rem 555
  3. 281 rem 93
  4. 152 rem 82
  5. 325 rem 626
  6. 913 rem 21
  7. 211 rem 502
  8. 133 rem 8
  9. 339 rem 584
  10. 318 rem 76
  11. 142 rem 601
  12. 255 rem 750
  13. 160 rem 765
  14. 948 rem 76
  15. 589 rem 103
  16. 763 rem 59
  17. 732 rem 711
  18. 489 rem 174
  19. 884 rem 957
  20. 1050 rem 1
  21. 1086 rem 1
  22. 33 rem 90
  23. 83 rem 51
  24. 569 rem 150
  25. 785 rem 1
  26. 197 rem 4
  27. 1081 rem 22
  28. 1027 rem 59
  29. 754 rem 25
  30. 794 rem 71
  31. 876 rem 910
  32. 360 rem 900
  33. 695 rem 71
  34. 315 rem 944
  35. 317 rem 473
  36. 284 rem 71
  37. 139 rem 7
  38. 867 rem 6
  39. 815 rem 59
  40. 894 rem 71

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