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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 412 · 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. 1.8670 ÷ 89 =
  2. 2.811289 ÷ 997 =
  3. 3.929839 ÷ 988 =
  4. 4.86393 ÷ 988 =
  5. 5.20853 ÷ 98 =
  6. 6.5091 ÷ 8 =
  7. 7.97176 ÷ 897 =
  8. 8.1990 ÷ 8 =
  9. 9.68578 ÷ 96 =
  10. 10.81855 ÷ 88 =
  11. 11.699343 ÷ 897 =
  12. 12.160849 ÷ 988 =
  13. 13.76663 ÷ 88 =
  14. 14.805476 ÷ 989 =
  15. 15.1427 ÷ 97 =
  16. 16.695512 ÷ 897 =
  17. 17.23244 ÷ 96 =
  18. 18.24060 ÷ 89 =
  19. 19.55668 ÷ 897 =
  20. 20.964390 ÷ 897 =
  21. 21.45542 ÷ 96 =
  22. 22.1375 ÷ 8 =
  23. 23.7331 ÷ 8 =
  24. 24.915345 ÷ 998 =
  25. 25.4199 ÷ 8 =
  26. 26.742188 ÷ 897 =
  27. 27.782281 ÷ 989 =
  28. 28.47452 ÷ 96 =
  29. 29.29478 ÷ 97 =
  30. 30.88005 ÷ 97 =
  31. 31.9932 ÷ 97 =
  32. 32.3868 ÷ 8 =
  33. 33.70751 ÷ 98 =
  34. 34.79390 ÷ 88 =
  35. 35.173840 ÷ 998 =
  36. 36.449565 ÷ 998 =
  37. 37.389548 ÷ 897 =
  38. 38.758098 ÷ 997 =
  39. 39.939764 ÷ 897 =
  40. 40.9321 ÷ 8 =

Answer key

  1. 97 rem 37
  2. 813 rem 728
  3. 941 rem 131
  4. 87 rem 437
  5. 212 rem 77
  6. 636 rem 3
  7. 108 rem 300
  8. 248 rem 6
  9. 714 rem 34
  10. 930 rem 15
  11. 779 rem 580
  12. 162 rem 793
  13. 871 rem 15
  14. 814 rem 430
  15. 14 rem 69
  16. 775 rem 337
  17. 242 rem 12
  18. 270 rem 30
  19. 62 rem 54
  20. 1075 rem 115
  21. 474 rem 38
  22. 171 rem 7
  23. 916 rem 3
  24. 917 rem 179
  25. 524 rem 7
  26. 827 rem 369
  27. 790 rem 971
  28. 494 rem 28
  29. 303 rem 87
  30. 907 rem 26
  31. 102 rem 38
  32. 483 rem 4
  33. 721 rem 93
  34. 902 rem 14
  35. 174 rem 188
  36. 450 rem 465
  37. 434 rem 250
  38. 760 rem 378
  39. 1047 rem 605
  40. 1165 rem 1

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