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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 375 · 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. 1.8072 ÷ 89 =
  2. 2.6172 ÷ 8 =
  3. 3.636623 ÷ 897 =
  4. 4.16090 ÷ 89 =
  5. 5.658220 ÷ 998 =
  6. 6.59808 ÷ 96 =
  7. 7.1231 ÷ 89 =
  8. 8.42728 ÷ 89 =
  9. 9.548004 ÷ 997 =
  10. 10.482723 ÷ 897 =
  11. 11.9834 ÷ 8 =
  12. 12.562150 ÷ 897 =
  13. 13.863764 ÷ 897 =
  14. 14.32305 ÷ 97 =
  15. 15.995169 ÷ 998 =
  16. 16.47955 ÷ 97 =
  17. 17.88914 ÷ 88 =
  18. 18.61891 ÷ 88 =
  19. 19.64572 ÷ 96 =
  20. 20.68517 ÷ 89 =
  21. 21.32560 ÷ 998 =
  22. 22.5063 ÷ 8 =
  23. 23.22550 ÷ 89 =
  24. 24.25034 ÷ 89 =
  25. 25.930621 ÷ 897 =
  26. 26.852733 ÷ 897 =
  27. 27.19757 ÷ 97 =
  28. 28.323343 ÷ 998 =
  29. 29.755730 ÷ 998 =
  30. 30.27914 ÷ 96 =
  31. 31.919097 ÷ 988 =
  32. 32.433230 ÷ 998 =
  33. 33.980749 ÷ 897 =
  34. 34.117668 ÷ 988 =
  35. 35.183364 ÷ 997 =
  36. 36.135803 ÷ 988 =
  37. 37.57860 ÷ 89 =
  38. 38.378707 ÷ 997 =
  39. 39.7206 ÷ 8 =
  40. 40.1807 ÷ 8 =

Answer key

  1. 90 rem 62
  2. 771 rem 4
  3. 709 rem 650
  4. 180 rem 70
  5. 659 rem 538
  6. 623 rem 0
  7. 13 rem 74
  8. 480 rem 8
  9. 549 rem 651
  10. 538 rem 137
  11. 1229 rem 2
  12. 626 rem 628
  13. 962 rem 850
  14. 333 rem 4
  15. 997 rem 163
  16. 494 rem 37
  17. 1010 rem 34
  18. 703 rem 27
  19. 672 rem 60
  20. 769 rem 76
  21. 32 rem 624
  22. 632 rem 7
  23. 253 rem 33
  24. 281 rem 25
  25. 1037 rem 432
  26. 950 rem 583
  27. 203 rem 66
  28. 323 rem 989
  29. 757 rem 244
  30. 290 rem 74
  31. 930 rem 257
  32. 434 rem 98
  33. 1093 rem 328
  34. 119 rem 96
  35. 183 rem 913
  36. 137 rem 447
  37. 650 rem 10
  38. 379 rem 844
  39. 900 rem 6
  40. 225 rem 7

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