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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 372 · 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. 1.21055 ÷ 89 =
  2. 2.253202 ÷ 989 =
  3. 3.56100 ÷ 96 =
  4. 4.777138 ÷ 988 =
  5. 5.3794 ÷ 96 =
  6. 6.9844 ÷ 8 =
  7. 7.87454 ÷ 96 =
  8. 8.20440 ÷ 96 =
  9. 9.71555 ÷ 998 =
  10. 10.391472 ÷ 997 =
  11. 11.72731 ÷ 89 =
  12. 12.7786 ÷ 8 =
  13. 13.86111 ÷ 89 =
  14. 14.81471 ÷ 97 =
  15. 15.19995 ÷ 89 =
  16. 16.65203 ÷ 88 =
  17. 17.1870 ÷ 97 =
  18. 18.5578 ÷ 8 =
  19. 19.26335 ÷ 97 =
  20. 20.343751 ÷ 998 =
  21. 21.615945 ÷ 998 =
  22. 22.9359 ÷ 96 =
  23. 23.1663 ÷ 8 =
  24. 24.926129 ÷ 997 =
  25. 25.36699 ÷ 897 =
  26. 26.851834 ÷ 997 =
  27. 27.28289 ÷ 97 =
  28. 28.5226 ÷ 8 =
  29. 29.93490 ÷ 89 =
  30. 30.92167 ÷ 989 =
  31. 31.948505 ÷ 897 =
  32. 32.821021 ÷ 989 =
  33. 33.2374 ÷ 8 =
  34. 34.35049 ÷ 98 =
  35. 35.157118 ÷ 989 =
  36. 36.3152 ÷ 8 =
  37. 37.210795 ÷ 997 =
  38. 38.13743 ÷ 97 =
  39. 39.497945 ÷ 997 =
  40. 40.51887 ÷ 97 =

Answer key

  1. 236 rem 51
  2. 256 rem 18
  3. 584 rem 36
  4. 786 rem 570
  5. 39 rem 50
  6. 1230 rem 4
  7. 910 rem 94
  8. 212 rem 88
  9. 71 rem 697
  10. 392 rem 648
  11. 817 rem 18
  12. 973 rem 2
  13. 967 rem 48
  14. 839 rem 88
  15. 224 rem 59
  16. 740 rem 83
  17. 19 rem 27
  18. 697 rem 2
  19. 271 rem 48
  20. 344 rem 439
  21. 617 rem 179
  22. 97 rem 47
  23. 207 rem 7
  24. 928 rem 913
  25. 40 rem 819
  26. 854 rem 396
  27. 291 rem 62
  28. 653 rem 2
  29. 1050 rem 40
  30. 93 rem 190
  31. 1057 rem 376
  32. 830 rem 151
  33. 296 rem 6
  34. 357 rem 63
  35. 158 rem 856
  36. 394 rem 0
  37. 211 rem 428
  38. 141 rem 66
  39. 499 rem 442
  40. 534 rem 89

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