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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 366 · 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. 1.39595 ÷ 97 =
  2. 2.67408 ÷ 98 =
  3. 3.26603 ÷ 96 =
  4. 4.88692 ÷ 98 =
  5. 5.79325 ÷ 97 =
  6. 6.77964 ÷ 96 =
  7. 7.680538 ÷ 998 =
  8. 8.629124 ÷ 989 =
  9. 9.685173 ÷ 998 =
  10. 10.97556 ÷ 96 =
  11. 11.27633 ÷ 88 =
  12. 12.46141 ÷ 88 =
  13. 13.969474 ÷ 998 =
  14. 14.771261 ÷ 897 =
  15. 15.10235 ÷ 89 =
  16. 16.26410 ÷ 989 =
  17. 17.29044 ÷ 88 =
  18. 18.5064 ÷ 98 =
  19. 19.367095 ÷ 998 =
  20. 20.51347 ÷ 88 =
  21. 21.853831 ÷ 897 =
  22. 22.35781 ÷ 96 =
  23. 23.98028 ÷ 96 =
  24. 24.998896 ÷ 988 =
  25. 25.96477 ÷ 98 =
  26. 26.90890 ÷ 88 =
  27. 27.48664 ÷ 98 =
  28. 28.96291 ÷ 89 =
  29. 29.21447 ÷ 97 =
  30. 30.67882 ÷ 98 =
  31. 31.60414 ÷ 96 =
  32. 32.69025 ÷ 998 =
  33. 33.1521 ÷ 8 =
  34. 34.51283 ÷ 96 =
  35. 35.347842 ÷ 998 =
  36. 36.485030 ÷ 997 =
  37. 37.13125 ÷ 97 =
  38. 38.7860 ÷ 8 =
  39. 39.63003 ÷ 98 =
  40. 40.534156 ÷ 998 =

Answer key

  1. 408 rem 19
  2. 687 rem 82
  3. 277 rem 11
  4. 905 rem 2
  5. 817 rem 76
  6. 812 rem 12
  7. 681 rem 900
  8. 636 rem 120
  9. 686 rem 545
  10. 1016 rem 20
  11. 314 rem 1
  12. 524 rem 29
  13. 971 rem 416
  14. 859 rem 738
  15. 115 rem 0
  16. 26 rem 696
  17. 330 rem 4
  18. 51 rem 66
  19. 367 rem 829
  20. 583 rem 43
  21. 951 rem 784
  22. 372 rem 69
  23. 1021 rem 12
  24. 1011 rem 28
  25. 984 rem 45
  26. 1032 rem 74
  27. 496 rem 56
  28. 1081 rem 82
  29. 221 rem 10
  30. 692 rem 66
  31. 629 rem 30
  32. 69 rem 163
  33. 190 rem 1
  34. 534 rem 19
  35. 348 rem 538
  36. 486 rem 488
  37. 135 rem 30
  38. 982 rem 4
  39. 642 rem 87
  40. 535 rem 226

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