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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 623 · 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. 1.633824 ÷ 997 =
  2. 2.11336 ÷ 96 =
  3. 3.61744 ÷ 96 =
  4. 4.758033 ÷ 897 =
  5. 5.491692 ÷ 997 =
  6. 6.24165 ÷ 89 =
  7. 7.439 ÷ 8 =
  8. 8.8253 ÷ 97 =
  9. 9.129725 ÷ 988 =
  10. 10.800883 ÷ 897 =
  11. 11.568616 ÷ 897 =
  12. 12.26352 ÷ 98 =
  13. 13.41316 ÷ 97 =
  14. 14.2744 ÷ 8 =
  15. 15.9969 ÷ 8 =
  16. 16.9060 ÷ 8 =
  17. 17.1043 ÷ 8 =
  18. 18.6886 ÷ 8 =
  19. 19.49460 ÷ 98 =
  20. 20.5773 ÷ 96 =
  21. 21.19677 ÷ 989 =
  22. 22.510252 ÷ 988 =
  23. 23.77595 ÷ 97 =
  24. 24.5921 ÷ 97 =
  25. 25.63141 ÷ 89 =
  26. 26.861009 ÷ 988 =
  27. 27.239734 ÷ 998 =
  28. 28.97268 ÷ 89 =
  29. 29.62222 ÷ 989 =
  30. 30.570893 ÷ 998 =
  31. 31.61560 ÷ 97 =
  32. 32.36408 ÷ 97 =
  33. 33.601587 ÷ 998 =
  34. 34.76562 ÷ 88 =
  35. 35.1624 ÷ 8 =
  36. 36.54423 ÷ 997 =
  37. 37.2327 ÷ 97 =
  38. 38.205423 ÷ 998 =
  39. 39.18033 ÷ 97 =
  40. 40.623070 ÷ 897 =

Answer key

  1. 635 rem 729
  2. 118 rem 8
  3. 643 rem 16
  4. 845 rem 68
  5. 493 rem 171
  6. 271 rem 46
  7. 54 rem 7
  8. 85 rem 8
  9. 131 rem 297
  10. 892 rem 759
  11. 633 rem 815
  12. 268 rem 88
  13. 425 rem 91
  14. 343 rem 0
  15. 1246 rem 1
  16. 1132 rem 4
  17. 130 rem 3
  18. 860 rem 6
  19. 504 rem 68
  20. 60 rem 13
  21. 19 rem 886
  22. 516 rem 444
  23. 799 rem 92
  24. 61 rem 4
  25. 709 rem 40
  26. 871 rem 461
  27. 240 rem 214
  28. 1092 rem 80
  29. 62 rem 904
  30. 572 rem 37
  31. 634 rem 62
  32. 375 rem 33
  33. 602 rem 791
  34. 870 rem 2
  35. 203 rem 0
  36. 54 rem 585
  37. 23 rem 96
  38. 205 rem 833
  39. 185 rem 88
  40. 694 rem 552

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