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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 515 · 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. 1.1632 ÷ 97 =
  2. 2.570053 ÷ 989 =
  3. 3.47098 ÷ 988 =
  4. 4.419392 ÷ 988 =
  5. 5.46550 ÷ 89 =
  6. 6.63930 ÷ 98 =
  7. 7.704536 ÷ 997 =
  8. 8.72105 ÷ 98 =
  9. 9.153278 ÷ 997 =
  10. 10.72591 ÷ 97 =
  11. 11.40245 ÷ 97 =
  12. 12.33850 ÷ 89 =
  13. 13.649495 ÷ 988 =
  14. 14.86165 ÷ 97 =
  15. 15.914849 ÷ 988 =
  16. 16.16692 ÷ 96 =
  17. 17.302198 ÷ 989 =
  18. 18.765109 ÷ 989 =
  19. 19.337209 ÷ 989 =
  20. 20.76930 ÷ 97 =
  21. 21.44607 ÷ 997 =
  22. 22.108669 ÷ 897 =
  23. 23.37798 ÷ 98 =
  24. 24.78523 ÷ 96 =
  25. 25.35561 ÷ 89 =
  26. 26.196587 ÷ 988 =
  27. 27.288516 ÷ 997 =
  28. 28.78100 ÷ 98 =
  29. 29.968286 ÷ 989 =
  30. 30.59138 ÷ 88 =
  31. 31.900737 ÷ 998 =
  32. 32.527861 ÷ 989 =
  33. 33.570481 ÷ 988 =
  34. 34.3341 ÷ 8 =
  35. 35.82418 ÷ 98 =
  36. 36.97972 ÷ 96 =
  37. 37.56030 ÷ 89 =
  38. 38.77244 ÷ 97 =
  39. 39.50738 ÷ 98 =
  40. 40.220264 ÷ 997 =

Answer key

  1. 16 rem 80
  2. 576 rem 389
  3. 47 rem 662
  4. 424 rem 480
  5. 523 rem 3
  6. 652 rem 34
  7. 706 rem 654
  8. 735 rem 75
  9. 153 rem 737
  10. 748 rem 35
  11. 414 rem 87
  12. 380 rem 30
  13. 657 rem 379
  14. 888 rem 29
  15. 925 rem 949
  16. 173 rem 84
  17. 305 rem 553
  18. 773 rem 612
  19. 340 rem 949
  20. 793 rem 9
  21. 44 rem 739
  22. 121 rem 132
  23. 385 rem 68
  24. 817 rem 91
  25. 399 rem 50
  26. 198 rem 963
  27. 289 rem 383
  28. 796 rem 92
  29. 979 rem 55
  30. 672 rem 2
  31. 902 rem 541
  32. 533 rem 724
  33. 577 rem 405
  34. 417 rem 5
  35. 841 rem 0
  36. 1020 rem 52
  37. 629 rem 49
  38. 796 rem 32
  39. 517 rem 72
  40. 220 rem 924

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