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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 928 · 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. 1.816028 ÷ 989 =
  2. 2.28060 ÷ 88 =
  3. 3.57419 ÷ 96 =
  4. 4.55811 ÷ 97 =
  5. 5.56434 ÷ 897 =
  6. 6.294999 ÷ 988 =
  7. 7.75002 ÷ 88 =
  8. 8.653816 ÷ 988 =
  9. 9.115155 ÷ 997 =
  10. 10.112020 ÷ 997 =
  11. 11.80273 ÷ 89 =
  12. 12.139502 ÷ 989 =
  13. 13.20194 ÷ 96 =
  14. 14.49081 ÷ 98 =
  15. 15.86655 ÷ 88 =
  16. 16.13983 ÷ 88 =
  17. 17.454416 ÷ 997 =
  18. 18.69916 ÷ 97 =
  19. 19.84739 ÷ 998 =
  20. 20.95137 ÷ 98 =
  21. 21.68195 ÷ 96 =
  22. 22.129066 ÷ 989 =
  23. 23.650149 ÷ 897 =
  24. 24.69455 ÷ 989 =
  25. 25.89297 ÷ 96 =
  26. 26.36338 ÷ 97 =
  27. 27.733646 ÷ 988 =
  28. 28.154945 ÷ 897 =
  29. 29.168156 ÷ 897 =
  30. 30.296470 ÷ 897 =
  31. 31.72870 ÷ 988 =
  32. 32.197596 ÷ 997 =
  33. 33.956691 ÷ 897 =
  34. 34.846254 ÷ 989 =
  35. 35.840104 ÷ 998 =
  36. 36.36729 ÷ 96 =
  37. 37.3922 ÷ 97 =
  38. 38.96610 ÷ 96 =
  39. 39.620206 ÷ 989 =
  40. 40.171707 ÷ 997 =

Answer key

  1. 825 rem 103
  2. 318 rem 76
  3. 598 rem 11
  4. 575 rem 36
  5. 62 rem 820
  6. 298 rem 575
  7. 852 rem 26
  8. 661 rem 748
  9. 115 rem 500
  10. 112 rem 356
  11. 901 rem 84
  12. 141 rem 53
  13. 210 rem 34
  14. 500 rem 81
  15. 984 rem 63
  16. 158 rem 79
  17. 455 rem 781
  18. 720 rem 76
  19. 84 rem 907
  20. 970 rem 77
  21. 710 rem 35
  22. 130 rem 496
  23. 724 rem 721
  24. 70 rem 225
  25. 930 rem 17
  26. 374 rem 60
  27. 742 rem 550
  28. 172 rem 661
  29. 187 rem 417
  30. 330 rem 460
  31. 73 rem 746
  32. 198 rem 190
  33. 1066 rem 489
  34. 855 rem 659
  35. 841 rem 786
  36. 382 rem 57
  37. 40 rem 42
  38. 1006 rem 34
  39. 627 rem 103
  40. 172 rem 223

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