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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 890 · 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. 1.11168 ÷ 88 =
  2. 2.27672 ÷ 98 =
  3. 3.40730 ÷ 997 =
  4. 4.187484 ÷ 997 =
  5. 5.28328 ÷ 97 =
  6. 6.100977 ÷ 998 =
  7. 7.49285 ÷ 96 =
  8. 8.748871 ÷ 989 =
  9. 9.23467 ÷ 89 =
  10. 10.228896 ÷ 988 =
  11. 11.56834 ÷ 98 =
  12. 12.58689 ÷ 988 =
  13. 13.75931 ÷ 989 =
  14. 14.32495 ÷ 97 =
  15. 15.3227 ÷ 97 =
  16. 16.412761 ÷ 997 =
  17. 17.11344 ÷ 96 =
  18. 18.643916 ÷ 989 =
  19. 19.512538 ÷ 998 =
  20. 20.62791 ÷ 98 =
  21. 21.21665 ÷ 97 =
  22. 22.4021 ÷ 8 =
  23. 23.269048 ÷ 989 =
  24. 24.840749 ÷ 997 =
  25. 25.14129 ÷ 997 =
  26. 26.85999 ÷ 89 =
  27. 27.80444 ÷ 98 =
  28. 28.911209 ÷ 988 =
  29. 29.747106 ÷ 989 =
  30. 30.59926 ÷ 96 =
  31. 31.25811 ÷ 96 =
  32. 32.55566 ÷ 96 =
  33. 33.865020 ÷ 997 =
  34. 34.97662 ÷ 96 =
  35. 35.735 ÷ 8 =
  36. 36.267333 ÷ 989 =
  37. 37.69609 ÷ 97 =
  38. 38.650600 ÷ 989 =
  39. 39.523917 ÷ 997 =
  40. 40.717766 ÷ 998 =

Answer key

  1. 126 rem 80
  2. 282 rem 36
  3. 40 rem 850
  4. 188 rem 48
  5. 292 rem 4
  6. 101 rem 179
  7. 513 rem 37
  8. 757 rem 198
  9. 263 rem 60
  10. 231 rem 668
  11. 579 rem 92
  12. 59 rem 397
  13. 76 rem 767
  14. 335 rem 0
  15. 33 rem 26
  16. 414 rem 3
  17. 118 rem 16
  18. 651 rem 77
  19. 513 rem 564
  20. 640 rem 71
  21. 223 rem 34
  22. 502 rem 5
  23. 272 rem 40
  24. 843 rem 278
  25. 14 rem 171
  26. 966 rem 25
  27. 820 rem 84
  28. 922 rem 273
  29. 755 rem 411
  30. 624 rem 22
  31. 268 rem 83
  32. 578 rem 78
  33. 867 rem 621
  34. 1017 rem 30
  35. 91 rem 7
  36. 270 rem 303
  37. 717 rem 60
  38. 657 rem 827
  39. 525 rem 492
  40. 719 rem 204

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