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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 620 · 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. 1.39246 ÷ 98 =
  2. 2.77858 ÷ 98 =
  3. 3.73535 ÷ 88 =
  4. 4.74335 ÷ 97 =
  5. 5.896625 ÷ 998 =
  6. 6.16716 ÷ 97 =
  7. 7.18581 ÷ 897 =
  8. 8.243041 ÷ 897 =
  9. 9.1333 ÷ 96 =
  10. 10.86284 ÷ 97 =
  11. 11.79131 ÷ 998 =
  12. 12.64379 ÷ 88 =
  13. 13.79723 ÷ 98 =
  14. 14.25417 ÷ 96 =
  15. 15.7363 ÷ 8 =
  16. 16.1884 ÷ 8 =
  17. 17.8076 ÷ 8 =
  18. 18.20248 ÷ 98 =
  19. 19.48168 ÷ 98 =
  20. 20.82297 ÷ 897 =
  21. 21.6723 ÷ 8 =
  22. 22.24729 ÷ 97 =
  23. 23.62204 ÷ 98 =
  24. 24.643869 ÷ 997 =
  25. 25.55435 ÷ 97 =
  26. 26.95312 ÷ 96 =
  27. 27.465368 ÷ 988 =
  28. 28.17806 ÷ 96 =
  29. 29.85697 ÷ 96 =
  30. 30.293801 ÷ 998 =
  31. 31.66251 ÷ 89 =
  32. 32.34372 ÷ 989 =
  33. 33.74787 ÷ 988 =
  34. 34.886985 ÷ 988 =
  35. 35.48411 ÷ 98 =
  36. 36.60704 ÷ 997 =
  37. 37.40399 ÷ 88 =
  38. 38.2659 ÷ 8 =
  39. 39.89253 ÷ 98 =
  40. 40.52239 ÷ 97 =

Answer key

  1. 400 rem 46
  2. 794 rem 46
  3. 835 rem 55
  4. 766 rem 33
  5. 898 rem 421
  6. 172 rem 32
  7. 20 rem 641
  8. 270 rem 851
  9. 13 rem 85
  10. 889 rem 51
  11. 79 rem 289
  12. 731 rem 51
  13. 813 rem 49
  14. 264 rem 73
  15. 920 rem 3
  16. 235 rem 4
  17. 1009 rem 4
  18. 206 rem 60
  19. 491 rem 50
  20. 91 rem 670
  21. 840 rem 3
  22. 254 rem 91
  23. 634 rem 72
  24. 645 rem 804
  25. 571 rem 48
  26. 992 rem 80
  27. 471 rem 20
  28. 185 rem 46
  29. 892 rem 65
  30. 294 rem 389
  31. 744 rem 35
  32. 34 rem 746
  33. 75 rem 687
  34. 897 rem 749
  35. 493 rem 97
  36. 60 rem 884
  37. 459 rem 7
  38. 332 rem 3
  39. 910 rem 73
  40. 538 rem 53

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