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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 453 · 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. 1.22616 ÷ 89 =
  2. 2.7283 ÷ 97 =
  3. 3.35364 ÷ 96 =
  4. 4.5775 ÷ 96 =
  5. 5.627001 ÷ 897 =
  6. 6.95248 ÷ 96 =
  7. 7.535835 ÷ 998 =
  8. 8.4901 ÷ 8 =
  9. 9.1316 ÷ 8 =
  10. 10.26647 ÷ 96 =
  11. 11.222051 ÷ 998 =
  12. 12.23384 ÷ 96 =
  13. 13.40718 ÷ 98 =
  14. 14.558292 ÷ 997 =
  15. 15.77423 ÷ 89 =
  16. 16.13102 ÷ 89 =
  17. 17.6891 ÷ 8 =
  18. 18.798625 ÷ 989 =
  19. 19.2592 ÷ 8 =
  20. 20.8994 ÷ 8 =
  21. 21.97201 ÷ 96 =
  22. 22.945379 ÷ 897 =
  23. 23.934311 ÷ 998 =
  24. 24.8873 ÷ 98 =
  25. 25.485167 ÷ 989 =
  26. 26.805948 ÷ 997 =
  27. 27.172467 ÷ 897 =
  28. 28.28406 ÷ 988 =
  29. 29.68754 ÷ 88 =
  30. 30.83282 ÷ 98 =
  31. 31.296305 ÷ 989 =
  32. 32.66011 ÷ 98 =
  33. 33.5850 ÷ 89 =
  34. 34.320211 ÷ 988 =
  35. 35.86559 ÷ 96 =
  36. 36.2067 ÷ 8 =
  37. 37.90622 ÷ 89 =
  38. 38.933401 ÷ 998 =
  39. 39.83049 ÷ 997 =
  40. 40.62772 ÷ 88 =

Answer key

  1. 254 rem 10
  2. 75 rem 8
  3. 368 rem 36
  4. 60 rem 15
  5. 698 rem 895
  6. 992 rem 16
  7. 536 rem 907
  8. 612 rem 5
  9. 164 rem 4
  10. 277 rem 55
  11. 222 rem 495
  12. 243 rem 56
  13. 415 rem 48
  14. 559 rem 969
  15. 869 rem 82
  16. 147 rem 19
  17. 861 rem 3
  18. 807 rem 502
  19. 324 rem 0
  20. 1124 rem 2
  21. 1012 rem 49
  22. 1053 rem 838
  23. 936 rem 183
  24. 90 rem 53
  25. 490 rem 557
  26. 808 rem 372
  27. 192 rem 243
  28. 28 rem 742
  29. 781 rem 26
  30. 849 rem 80
  31. 299 rem 594
  32. 673 rem 57
  33. 65 rem 65
  34. 324 rem 99
  35. 901 rem 63
  36. 258 rem 3
  37. 1018 rem 20
  38. 935 rem 271
  39. 83 rem 298
  40. 713 rem 28

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