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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 971 · 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. 1.569489 ÷ 897 =
  2. 2.93560 ÷ 998 =
  3. 3.16275 ÷ 98 =
  4. 4.995730 ÷ 997 =
  5. 5.581270 ÷ 988 =
  6. 6.270647 ÷ 897 =
  7. 7.610461 ÷ 897 =
  8. 8.47864 ÷ 98 =
  9. 9.23429 ÷ 98 =
  10. 10.140040 ÷ 897 =
  11. 11.60000 ÷ 98 =
  12. 12.871543 ÷ 997 =
  13. 13.791929 ÷ 897 =
  14. 14.19213 ÷ 96 =
  15. 15.29384 ÷ 96 =
  16. 16.36129 ÷ 97 =
  17. 17.61737 ÷ 88 =
  18. 18.50725 ÷ 89 =
  19. 19.698420 ÷ 988 =
  20. 20.462021 ÷ 989 =
  21. 21.6112 ÷ 98 =
  22. 22.484077 ÷ 998 =
  23. 23.932766 ÷ 997 =
  24. 24.6089 ÷ 8 =
  25. 25.7402 ÷ 97 =
  26. 26.722320 ÷ 988 =
  27. 27.25059 ÷ 88 =
  28. 28.555336 ÷ 897 =
  29. 29.50783 ÷ 96 =
  30. 30.460664 ÷ 998 =
  31. 31.976334 ÷ 897 =
  32. 32.382770 ÷ 998 =
  33. 33.490296 ÷ 988 =
  34. 34.36197 ÷ 97 =
  35. 35.117492 ÷ 897 =
  36. 36.120146 ÷ 897 =
  37. 37.964008 ÷ 997 =
  38. 38.28732 ÷ 989 =
  39. 39.716009 ÷ 997 =
  40. 40.20148 ÷ 989 =

Answer key

  1. 634 rem 791
  2. 93 rem 746
  3. 166 rem 7
  4. 998 rem 724
  5. 588 rem 326
  6. 301 rem 650
  7. 680 rem 501
  8. 488 rem 40
  9. 239 rem 7
  10. 156 rem 108
  11. 612 rem 24
  12. 874 rem 165
  13. 882 rem 775
  14. 200 rem 13
  15. 306 rem 8
  16. 372 rem 45
  17. 701 rem 49
  18. 569 rem 84
  19. 706 rem 892
  20. 467 rem 158
  21. 62 rem 36
  22. 485 rem 47
  23. 935 rem 571
  24. 761 rem 1
  25. 76 rem 30
  26. 731 rem 92
  27. 284 rem 67
  28. 619 rem 93
  29. 528 rem 95
  30. 461 rem 586
  31. 1088 rem 398
  32. 383 rem 536
  33. 496 rem 248
  34. 373 rem 16
  35. 130 rem 882
  36. 133 rem 845
  37. 966 rem 906
  38. 29 rem 51
  39. 718 rem 163
  40. 20 rem 368

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