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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 687 · 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. 1.649749 ÷ 897 =
  2. 2.61010 ÷ 98 =
  3. 3.14237 ÷ 89 =
  4. 4.48960 ÷ 88 =
  5. 5.89497 ÷ 96 =
  6. 6.2203 ÷ 8 =
  7. 7.25800 ÷ 89 =
  8. 8.740817 ÷ 988 =
  9. 9.87241 ÷ 89 =
  10. 10.3479 ÷ 98 =
  11. 11.335039 ÷ 998 =
  12. 12.4115 ÷ 8 =
  13. 13.85698 ÷ 89 =
  14. 14.23400 ÷ 98 =
  15. 15.507604 ÷ 897 =
  16. 16.57515 ÷ 988 =
  17. 17.161901 ÷ 989 =
  18. 18.67412 ÷ 97 =
  19. 19.320907 ÷ 998 =
  20. 20.54099 ÷ 96 =
  21. 21.10472 ÷ 97 =
  22. 22.36853 ÷ 89 =
  23. 23.111716 ÷ 998 =
  24. 24.779630 ÷ 989 =
  25. 25.423336 ÷ 989 =
  26. 26.738764 ÷ 988 =
  27. 27.709102 ÷ 997 =
  28. 28.62434 ÷ 96 =
  29. 29.66133 ÷ 97 =
  30. 30.3123 ÷ 8 =
  31. 31.859730 ÷ 988 =
  32. 32.78557 ÷ 897 =
  33. 33.914927 ÷ 989 =
  34. 34.54908 ÷ 89 =
  35. 35.373353 ÷ 988 =
  36. 36.5273 ÷ 8 =
  37. 37.94556 ÷ 97 =
  38. 38.87327 ÷ 998 =
  39. 39.254886 ÷ 897 =
  40. 40.26130 ÷ 97 =

Answer key

  1. 724 rem 321
  2. 622 rem 54
  3. 159 rem 86
  4. 556 rem 32
  5. 932 rem 25
  6. 275 rem 3
  7. 289 rem 79
  8. 749 rem 805
  9. 980 rem 21
  10. 35 rem 49
  11. 335 rem 709
  12. 514 rem 3
  13. 962 rem 80
  14. 238 rem 76
  15. 565 rem 799
  16. 58 rem 211
  17. 163 rem 694
  18. 694 rem 94
  19. 321 rem 549
  20. 563 rem 51
  21. 107 rem 93
  22. 414 rem 7
  23. 111 rem 938
  24. 788 rem 298
  25. 428 rem 44
  26. 747 rem 728
  27. 711 rem 235
  28. 650 rem 34
  29. 681 rem 76
  30. 390 rem 3
  31. 870 rem 170
  32. 87 rem 518
  33. 925 rem 102
  34. 616 rem 84
  35. 377 rem 877
  36. 659 rem 1
  37. 974 rem 78
  38. 87 rem 501
  39. 284 rem 138
  40. 269 rem 37

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