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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 158 · 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. 1.837668 ÷ 988 =
  2. 2.962685 ÷ 897 =
  3. 3.9884 ÷ 8 =
  4. 4.49180 ÷ 98 =
  5. 5.1559 ÷ 8 =
  6. 6.567909 ÷ 989 =
  7. 7.7137 ÷ 98 =
  8. 8.468618 ÷ 989 =
  9. 9.577746 ÷ 998 =
  10. 10.81480 ÷ 997 =
  11. 11.12336 ÷ 96 =
  12. 12.24752 ÷ 96 =
  13. 13.7724 ÷ 8 =
  14. 14.8225 ÷ 98 =
  15. 15.591843 ÷ 997 =
  16. 16.67400 ÷ 89 =
  17. 17.229174 ÷ 997 =
  18. 18.974729 ÷ 997 =
  19. 19.6539 ÷ 88 =
  20. 20.1689 ÷ 8 =
  21. 21.60795 ÷ 96 =
  22. 22.5699 ÷ 89 =
  23. 23.71980 ÷ 88 =
  24. 24.24599 ÷ 89 =
  25. 25.8402 ÷ 8 =
  26. 26.90081 ÷ 88 =
  27. 27.89220 ÷ 98 =
  28. 28.168180 ÷ 897 =
  29. 29.435613 ÷ 989 =
  30. 30.84531 ÷ 88 =
  31. 31.75181 ÷ 989 =
  32. 32.126837 ÷ 998 =
  33. 33.16603 ÷ 96 =
  34. 34.76222 ÷ 997 =
  35. 35.15990 ÷ 97 =
  36. 36.81488 ÷ 89 =
  37. 37.28030 ÷ 97 =
  38. 38.790887 ÷ 998 =
  39. 39.98425 ÷ 98 =
  40. 40.32000 ÷ 89 =

Answer key

  1. 847 rem 832
  2. 1073 rem 204
  3. 1235 rem 4
  4. 501 rem 82
  5. 194 rem 7
  6. 574 rem 223
  7. 72 rem 81
  8. 473 rem 821
  9. 578 rem 902
  10. 81 rem 723
  11. 128 rem 48
  12. 257 rem 80
  13. 965 rem 4
  14. 83 rem 91
  15. 593 rem 622
  16. 757 rem 27
  17. 229 rem 861
  18. 977 rem 660
  19. 74 rem 27
  20. 211 rem 1
  21. 633 rem 27
  22. 64 rem 3
  23. 817 rem 84
  24. 276 rem 35
  25. 1050 rem 2
  26. 1023 rem 57
  27. 910 rem 40
  28. 187 rem 441
  29. 440 rem 453
  30. 960 rem 51
  31. 76 rem 17
  32. 127 rem 91
  33. 172 rem 91
  34. 76 rem 450
  35. 164 rem 82
  36. 915 rem 53
  37. 288 rem 94
  38. 792 rem 471
  39. 1004 rem 33
  40. 359 rem 49

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