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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 883 · 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. 1.1617 ÷ 89 =
  2. 2.7271 ÷ 8 =
  3. 3.18803 ÷ 98 =
  4. 4.57881 ÷ 97 =
  5. 5.11614 ÷ 97 =
  6. 6.48851 ÷ 97 =
  7. 7.2852 ÷ 8 =
  8. 8.470666 ÷ 988 =
  9. 9.462315 ÷ 998 =
  10. 10.149412 ÷ 897 =
  11. 11.809916 ÷ 997 =
  12. 12.605389 ÷ 897 =
  13. 13.12955 ÷ 88 =
  14. 14.62177 ÷ 97 =
  15. 15.57300 ÷ 89 =
  16. 16.8348 ÷ 8 =
  17. 17.27207 ÷ 98 =
  18. 18.76836 ÷ 97 =
  19. 19.6565 ÷ 98 =
  20. 20.659342 ÷ 897 =
  21. 21.92629 ÷ 96 =
  22. 22.34774 ÷ 98 =
  23. 23.74580 ÷ 96 =
  24. 24.52353 ÷ 98 =
  25. 25.39890 ÷ 97 =
  26. 26.57825 ÷ 88 =
  27. 27.190814 ÷ 988 =
  28. 28.41100 ÷ 89 =
  29. 29.150238 ÷ 989 =
  30. 30.399462 ÷ 989 =
  31. 31.793673 ÷ 988 =
  32. 32.11043 ÷ 98 =
  33. 33.86000 ÷ 98 =
  34. 34.410467 ÷ 989 =
  35. 35.53412 ÷ 988 =
  36. 36.91549 ÷ 97 =
  37. 37.85384 ÷ 98 =
  38. 38.10633 ÷ 997 =
  39. 39.513714 ÷ 998 =
  40. 40.692881 ÷ 997 =

Answer key

  1. 18 rem 15
  2. 908 rem 7
  3. 191 rem 85
  4. 596 rem 69
  5. 119 rem 71
  6. 503 rem 60
  7. 356 rem 4
  8. 476 rem 378
  9. 463 rem 241
  10. 166 rem 510
  11. 812 rem 352
  12. 674 rem 811
  13. 147 rem 19
  14. 641 rem 0
  15. 643 rem 73
  16. 1043 rem 4
  17. 277 rem 61
  18. 792 rem 12
  19. 66 rem 97
  20. 735 rem 47
  21. 964 rem 85
  22. 354 rem 82
  23. 776 rem 84
  24. 534 rem 21
  25. 411 rem 23
  26. 657 rem 9
  27. 193 rem 130
  28. 461 rem 71
  29. 151 rem 899
  30. 403 rem 895
  31. 803 rem 309
  32. 112 rem 67
  33. 877 rem 54
  34. 415 rem 32
  35. 54 rem 60
  36. 943 rem 78
  37. 871 rem 26
  38. 10 rem 663
  39. 514 rem 742
  40. 694 rem 963

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