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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 678 · 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. 1.265881 ÷ 989 =
  2. 2.28627 ÷ 98 =
  3. 3.30902 ÷ 97 =
  4. 4.210427 ÷ 989 =
  5. 5.859627 ÷ 988 =
  6. 6.103288 ÷ 897 =
  7. 7.243123 ÷ 989 =
  8. 8.979014 ÷ 997 =
  9. 9.949781 ÷ 988 =
  10. 10.53870 ÷ 98 =
  11. 11.786076 ÷ 988 =
  12. 12.56215 ÷ 97 =
  13. 13.456074 ÷ 997 =
  14. 14.5733 ÷ 8 =
  15. 15.35668 ÷ 97 =
  16. 16.54806 ÷ 96 =
  17. 17.16020 ÷ 97 =
  18. 18.52257 ÷ 97 =
  19. 19.95744 ÷ 89 =
  20. 20.209167 ÷ 988 =
  21. 21.33330 ÷ 96 =
  22. 22.872177 ÷ 897 =
  23. 23.610390 ÷ 897 =
  24. 24.73953 ÷ 88 =
  25. 25.6197 ÷ 89 =
  26. 26.10697 ÷ 98 =
  27. 27.19904 ÷ 88 =
  28. 28.39589 ÷ 98 =
  29. 29.75147 ÷ 88 =
  30. 30.2980 ÷ 8 =
  31. 31.764424 ÷ 897 =
  32. 32.1822 ÷ 8 =
  33. 33.77596 ÷ 89 =
  34. 34.95184 ÷ 98 =
  35. 35.6464 ÷ 8 =
  36. 36.53165 ÷ 97 =
  37. 37.93647 ÷ 96 =
  38. 38.7979 ÷ 8 =
  39. 39.50909 ÷ 989 =
  40. 40.963770 ÷ 998 =

Answer key

  1. 268 rem 829
  2. 292 rem 11
  3. 318 rem 56
  4. 212 rem 759
  5. 870 rem 67
  6. 115 rem 133
  7. 245 rem 818
  8. 981 rem 957
  9. 961 rem 313
  10. 549 rem 68
  11. 795 rem 616
  12. 579 rem 52
  13. 457 rem 445
  14. 716 rem 5
  15. 367 rem 69
  16. 570 rem 86
  17. 165 rem 15
  18. 538 rem 71
  19. 1075 rem 69
  20. 211 rem 699
  21. 347 rem 18
  22. 972 rem 293
  23. 680 rem 430
  24. 840 rem 33
  25. 69 rem 56
  26. 109 rem 15
  27. 226 rem 16
  28. 403 rem 95
  29. 853 rem 83
  30. 372 rem 4
  31. 852 rem 180
  32. 227 rem 6
  33. 871 rem 77
  34. 971 rem 26
  35. 808 rem 0
  36. 548 rem 9
  37. 975 rem 47
  38. 997 rem 3
  39. 51 rem 470
  40. 965 rem 700

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