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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 125 · 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. 1.169667 ÷ 989 =
  2. 2.78746 ÷ 97 =
  3. 3.43515 ÷ 98 =
  4. 4.102399 ÷ 897 =
  5. 5.6580 ÷ 8 =
  6. 6.1927 ÷ 96 =
  7. 7.90758 ÷ 88 =
  8. 8.9682 ÷ 8 =
  9. 9.70654 ÷ 897 =
  10. 10.7146 ÷ 8 =
  11. 11.791197 ÷ 997 =
  12. 12.2549 ÷ 8 =
  13. 13.563801 ÷ 988 =
  14. 14.99298 ÷ 96 =
  15. 15.88976 ÷ 96 =
  16. 16.8564 ÷ 8 =
  17. 17.234742 ÷ 989 =
  18. 18.37377 ÷ 97 =
  19. 19.48206 ÷ 98 =
  20. 20.447284 ÷ 988 =
  21. 21.802189 ÷ 998 =
  22. 22.287670 ÷ 988 =
  23. 23.795690 ÷ 988 =
  24. 24.910458 ÷ 998 =
  25. 25.4060 ÷ 88 =
  26. 26.23825 ÷ 98 =
  27. 27.145257 ÷ 989 =
  28. 28.71335 ÷ 97 =
  29. 29.920641 ÷ 997 =
  30. 30.752612 ÷ 988 =
  31. 31.81882 ÷ 89 =
  32. 32.93009 ÷ 96 =
  33. 33.15378 ÷ 97 =
  34. 34.29271 ÷ 96 =
  35. 35.286519 ÷ 997 =
  36. 36.67585 ÷ 88 =
  37. 37.461206 ÷ 998 =
  38. 38.741616 ÷ 997 =
  39. 39.1079 ÷ 8 =
  40. 40.582790 ÷ 998 =

Answer key

  1. 171 rem 548
  2. 811 rem 79
  3. 444 rem 3
  4. 114 rem 141
  5. 822 rem 4
  6. 20 rem 7
  7. 1031 rem 30
  8. 1210 rem 2
  9. 78 rem 688
  10. 893 rem 2
  11. 793 rem 576
  12. 318 rem 5
  13. 570 rem 641
  14. 1034 rem 34
  15. 926 rem 80
  16. 1070 rem 4
  17. 237 rem 349
  18. 385 rem 32
  19. 491 rem 88
  20. 452 rem 708
  21. 803 rem 795
  22. 291 rem 162
  23. 805 rem 350
  24. 912 rem 282
  25. 46 rem 12
  26. 243 rem 11
  27. 146 rem 863
  28. 735 rem 40
  29. 923 rem 410
  30. 761 rem 744
  31. 920 rem 2
  32. 968 rem 81
  33. 158 rem 52
  34. 304 rem 87
  35. 287 rem 380
  36. 768 rem 1
  37. 462 rem 130
  38. 743 rem 845
  39. 134 rem 7
  40. 583 rem 956

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