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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 582 · 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. 1.295483 ÷ 988 =
  2. 2.63733 ÷ 98 =
  3. 3.25614 ÷ 98 =
  4. 4.44923 ÷ 97 =
  5. 5.61917 ÷ 89 =
  6. 6.5677 ÷ 8 =
  7. 7.90639 ÷ 97 =
  8. 8.489078 ÷ 988 =
  9. 9.117570 ÷ 998 =
  10. 10.46392 ÷ 97 =
  11. 11.2909 ÷ 8 =
  12. 12.48363 ÷ 96 =
  13. 13.27590 ÷ 96 =
  14. 14.653 ÷ 8 =
  15. 15.644768 ÷ 998 =
  16. 16.9787 ÷ 96 =
  17. 17.932634 ÷ 897 =
  18. 18.307429 ÷ 988 =
  19. 19.534827 ÷ 897 =
  20. 20.3231 ÷ 8 =
  21. 21.57369 ÷ 89 =
  22. 22.90120 ÷ 97 =
  23. 23.172633 ÷ 897 =
  24. 24.31523 ÷ 96 =
  25. 25.96679 ÷ 98 =
  26. 26.190600 ÷ 989 =
  27. 27.50894 ÷ 98 =
  28. 28.28074 ÷ 98 =
  29. 29.57738 ÷ 98 =
  30. 30.58813 ÷ 88 =
  31. 31.444721 ÷ 988 =
  32. 32.5056 ÷ 8 =
  33. 33.71566 ÷ 89 =
  34. 34.576838 ÷ 989 =
  35. 35.591050 ÷ 998 =
  36. 36.2235 ÷ 8 =
  37. 37.36601 ÷ 88 =
  38. 38.30133 ÷ 97 =
  39. 39.739581 ÷ 988 =
  40. 40.588306 ÷ 989 =

Answer key

  1. 299 rem 71
  2. 650 rem 33
  3. 261 rem 36
  4. 463 rem 12
  5. 695 rem 62
  6. 709 rem 5
  7. 934 rem 41
  8. 495 rem 18
  9. 117 rem 804
  10. 478 rem 26
  11. 363 rem 5
  12. 503 rem 75
  13. 287 rem 38
  14. 81 rem 5
  15. 646 rem 60
  16. 101 rem 91
  17. 1039 rem 651
  18. 311 rem 161
  19. 596 rem 215
  20. 403 rem 7
  21. 644 rem 53
  22. 929 rem 7
  23. 192 rem 409
  24. 328 rem 35
  25. 986 rem 51
  26. 192 rem 712
  27. 519 rem 32
  28. 286 rem 46
  29. 589 rem 16
  30. 668 rem 29
  31. 450 rem 121
  32. 632 rem 0
  33. 804 rem 10
  34. 583 rem 251
  35. 592 rem 234
  36. 279 rem 3
  37. 415 rem 81
  38. 310 rem 63
  39. 748 rem 557
  40. 594 rem 840

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