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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 449 · 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. 1.299923 ÷ 988 =
  2. 2.10643 ÷ 96 =
  3. 3.857340 ÷ 897 =
  4. 4.60186 ÷ 97 =
  5. 5.126639 ÷ 989 =
  6. 6.97007 ÷ 88 =
  7. 7.796960 ÷ 997 =
  8. 8.35593 ÷ 997 =
  9. 9.526561 ÷ 897 =
  10. 10.25223 ÷ 88 =
  11. 11.52329 ÷ 97 =
  12. 12.301521 ÷ 997 =
  13. 13.468460 ÷ 989 =
  14. 14.65074 ÷ 97 =
  15. 15.73788 ÷ 97 =
  16. 16.868 ÷ 8 =
  17. 17.71392 ÷ 89 =
  18. 18.2486 ÷ 8 =
  19. 19.54852 ÷ 89 =
  20. 20.637800 ÷ 989 =
  21. 21.118436 ÷ 897 =
  22. 22.264874 ÷ 989 =
  23. 23.713335 ÷ 897 =
  24. 24.43766 ÷ 98 =
  25. 25.70147 ÷ 89 =
  26. 26.791909 ÷ 897 =
  27. 27.58004 ÷ 88 =
  28. 28.650893 ÷ 897 =
  29. 29.131385 ÷ 997 =
  30. 30.81201 ÷ 96 =
  31. 31.356241 ÷ 997 =
  32. 32.25925 ÷ 98 =
  33. 33.958420 ÷ 998 =
  34. 34.79175 ÷ 88 =
  35. 35.98266 ÷ 98 =
  36. 36.959309 ÷ 997 =
  37. 37.93633 ÷ 88 =
  38. 38.30303 ÷ 97 =
  39. 39.66494 ÷ 897 =
  40. 40.65156 ÷ 96 =

Answer key

  1. 303 rem 559
  2. 110 rem 83
  3. 955 rem 705
  4. 620 rem 46
  5. 128 rem 47
  6. 1102 rem 31
  7. 799 rem 357
  8. 35 rem 698
  9. 587 rem 22
  10. 286 rem 55
  11. 539 rem 46
  12. 302 rem 427
  13. 473 rem 663
  14. 670 rem 84
  15. 760 rem 68
  16. 108 rem 4
  17. 802 rem 14
  18. 310 rem 6
  19. 616 rem 28
  20. 644 rem 884
  21. 132 rem 32
  22. 267 rem 811
  23. 795 rem 220
  24. 446 rem 58
  25. 788 rem 15
  26. 882 rem 755
  27. 659 rem 12
  28. 725 rem 568
  29. 131 rem 778
  30. 845 rem 81
  31. 357 rem 312
  32. 264 rem 53
  33. 960 rem 340
  34. 899 rem 63
  35. 1002 rem 70
  36. 962 rem 195
  37. 1064 rem 1
  38. 312 rem 39
  39. 74 rem 116
  40. 678 rem 68

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