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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 10 · 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. 1.5528 ÷ 8 =
  2. 2.55776 ÷ 88 =
  3. 3.95477 ÷ 989 =
  4. 4.77957 ÷ 97 =
  5. 5.86573 ÷ 88 =
  6. 6.224325 ÷ 989 =
  7. 7.475103 ÷ 988 =
  8. 8.440744 ÷ 988 =
  9. 9.46988 ÷ 89 =
  10. 10.322184 ÷ 998 =
  11. 11.267027 ÷ 988 =
  12. 12.72490 ÷ 88 =
  13. 13.65349 ÷ 89 =
  14. 14.39562 ÷ 96 =
  15. 15.667597 ÷ 997 =
  16. 16.415259 ÷ 998 =
  17. 17.9013 ÷ 8 =
  18. 18.25431 ÷ 88 =
  19. 19.90462 ÷ 989 =
  20. 20.936433 ÷ 989 =
  21. 21.40273 ÷ 98 =
  22. 22.9054 ÷ 97 =
  23. 23.486523 ÷ 998 =
  24. 24.666246 ÷ 988 =
  25. 25.720011 ÷ 997 =
  26. 26.5529 ÷ 8 =
  27. 27.784575 ÷ 988 =
  28. 28.44856 ÷ 89 =
  29. 29.960516 ÷ 997 =
  30. 30.12077 ÷ 97 =
  31. 31.520831 ÷ 997 =
  32. 32.6939 ÷ 96 =
  33. 33.753682 ÷ 998 =
  34. 34.311443 ÷ 998 =
  35. 35.519770 ÷ 897 =
  36. 36.9562 ÷ 8 =
  37. 37.97069 ÷ 97 =
  38. 38.203204 ÷ 988 =
  39. 39.581715 ÷ 997 =
  40. 40.2856 ÷ 8 =

Answer key

  1. 691 rem 0
  2. 633 rem 72
  3. 96 rem 533
  4. 803 rem 66
  5. 983 rem 69
  6. 226 rem 811
  7. 480 rem 863
  8. 446 rem 96
  9. 527 rem 85
  10. 322 rem 828
  11. 270 rem 267
  12. 823 rem 66
  13. 734 rem 23
  14. 412 rem 10
  15. 669 rem 604
  16. 416 rem 91
  17. 1126 rem 5
  18. 288 rem 87
  19. 91 rem 463
  20. 946 rem 839
  21. 410 rem 93
  22. 93 rem 33
  23. 487 rem 497
  24. 674 rem 334
  25. 722 rem 177
  26. 691 rem 1
  27. 794 rem 103
  28. 504 rem 0
  29. 963 rem 405
  30. 124 rem 49
  31. 522 rem 397
  32. 72 rem 27
  33. 755 rem 192
  34. 312 rem 67
  35. 579 rem 407
  36. 1195 rem 2
  37. 1000 rem 69
  38. 205 rem 664
  39. 583 rem 464
  40. 357 rem 0

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