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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 810 · 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. 1.8801 ÷ 8 =
  2. 2.27875 ÷ 988 =
  3. 3.239990 ÷ 997 =
  4. 4.181272 ÷ 988 =
  5. 5.4019 ÷ 97 =
  6. 6.75815 ÷ 96 =
  7. 7.6150 ÷ 88 =
  8. 8.10682 ÷ 97 =
  9. 9.629215 ÷ 989 =
  10. 10.5764 ÷ 8 =
  11. 11.76591 ÷ 98 =
  12. 12.89330 ÷ 88 =
  13. 13.628915 ÷ 897 =
  14. 14.9104 ÷ 97 =
  15. 15.84329 ÷ 89 =
  16. 16.771723 ÷ 988 =
  17. 17.899813 ÷ 998 =
  18. 18.4285 ÷ 97 =
  19. 19.218936 ÷ 988 =
  20. 20.44718 ÷ 89 =
  21. 21.230161 ÷ 988 =
  22. 22.53641 ÷ 97 =
  23. 23.8205 ÷ 8 =
  24. 24.48036 ÷ 88 =
  25. 25.71968 ÷ 97 =
  26. 26.63281 ÷ 998 =
  27. 27.85628 ÷ 97 =
  28. 28.447891 ÷ 998 =
  29. 29.4597 ÷ 8 =
  30. 30.825739 ÷ 989 =
  31. 31.681797 ÷ 997 =
  32. 32.594015 ÷ 989 =
  33. 33.8873 ÷ 88 =
  34. 34.58609 ÷ 96 =
  35. 35.312340 ÷ 988 =
  36. 36.951266 ÷ 989 =
  37. 37.35070 ÷ 96 =
  38. 38.39368 ÷ 98 =
  39. 39.673276 ÷ 897 =
  40. 40.70660 ÷ 97 =

Answer key

  1. 1100 rem 1
  2. 28 rem 211
  3. 240 rem 710
  4. 183 rem 468
  5. 41 rem 42
  6. 789 rem 71
  7. 69 rem 78
  8. 110 rem 12
  9. 636 rem 211
  10. 720 rem 4
  11. 781 rem 53
  12. 1015 rem 10
  13. 701 rem 118
  14. 93 rem 83
  15. 947 rem 46
  16. 781 rem 95
  17. 901 rem 615
  18. 44 rem 17
  19. 221 rem 588
  20. 502 rem 40
  21. 232 rem 945
  22. 553 rem 0
  23. 1025 rem 5
  24. 545 rem 76
  25. 741 rem 91
  26. 63 rem 407
  27. 882 rem 74
  28. 448 rem 787
  29. 574 rem 5
  30. 834 rem 913
  31. 683 rem 846
  32. 600 rem 615
  33. 100 rem 73
  34. 610 rem 49
  35. 316 rem 132
  36. 961 rem 837
  37. 365 rem 30
  38. 401 rem 70
  39. 750 rem 526
  40. 728 rem 44

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