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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 937 · 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. 1.873902 ÷ 997 =
  2. 2.120203 ÷ 897 =
  3. 3.3790 ÷ 8 =
  4. 4.699811 ÷ 998 =
  5. 5.43662 ÷ 88 =
  6. 6.291561 ÷ 998 =
  7. 7.48509 ÷ 98 =
  8. 8.10985 ÷ 96 =
  9. 9.33631 ÷ 96 =
  10. 10.834046 ÷ 988 =
  11. 11.183907 ÷ 988 =
  12. 12.231058 ÷ 998 =
  13. 13.208730 ÷ 989 =
  14. 14.37711 ÷ 96 =
  15. 15.278302 ÷ 997 =
  16. 16.123013 ÷ 897 =
  17. 17.231685 ÷ 998 =
  18. 18.96015 ÷ 97 =
  19. 19.43517 ÷ 96 =
  20. 20.74067 ÷ 998 =
  21. 21.82254 ÷ 96 =
  22. 22.789295 ÷ 989 =
  23. 23.63390 ÷ 96 =
  24. 24.86737 ÷ 88 =
  25. 25.4420 ÷ 8 =
  26. 26.693073 ÷ 989 =
  27. 27.673913 ÷ 988 =
  28. 28.5356 ÷ 8 =
  29. 29.469913 ÷ 989 =
  30. 30.9254 ÷ 96 =
  31. 31.841694 ÷ 897 =
  32. 32.76409 ÷ 97 =
  33. 33.603 ÷ 8 =
  34. 34.51341 ÷ 97 =
  35. 35.5777 ÷ 8 =
  36. 36.2907 ÷ 8 =
  37. 37.97549 ÷ 97 =
  38. 38.2330 ÷ 8 =
  39. 39.9430 ÷ 97 =
  40. 40.61528 ÷ 897 =

Answer key

  1. 876 rem 530
  2. 134 rem 5
  3. 473 rem 6
  4. 701 rem 213
  5. 496 rem 14
  6. 292 rem 145
  7. 494 rem 97
  8. 114 rem 41
  9. 350 rem 31
  10. 844 rem 174
  11. 186 rem 139
  12. 231 rem 520
  13. 211 rem 51
  14. 392 rem 79
  15. 279 rem 139
  16. 137 rem 124
  17. 232 rem 149
  18. 989 rem 82
  19. 453 rem 29
  20. 74 rem 215
  21. 856 rem 78
  22. 798 rem 73
  23. 660 rem 30
  24. 985 rem 57
  25. 552 rem 4
  26. 700 rem 773
  27. 682 rem 97
  28. 669 rem 4
  29. 475 rem 138
  30. 96 rem 38
  31. 938 rem 308
  32. 787 rem 70
  33. 75 rem 3
  34. 529 rem 28
  35. 722 rem 1
  36. 363 rem 3
  37. 1005 rem 64
  38. 291 rem 2
  39. 97 rem 21
  40. 68 rem 532

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