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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 958 · 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. 1.5900 ÷ 98 =
  2. 2.88068 ÷ 97 =
  3. 3.50174 ÷ 89 =
  4. 4.97330 ÷ 89 =
  5. 5.61332 ÷ 97 =
  6. 6.362438 ÷ 998 =
  7. 7.653910 ÷ 998 =
  8. 8.329169 ÷ 897 =
  9. 9.459666 ÷ 988 =
  10. 10.262825 ÷ 897 =
  11. 11.144731 ÷ 997 =
  12. 12.253774 ÷ 997 =
  13. 13.148708 ÷ 989 =
  14. 14.323089 ÷ 897 =
  15. 15.6669 ÷ 8 =
  16. 16.36045 ÷ 97 =
  17. 17.8477 ÷ 8 =
  18. 18.189807 ÷ 997 =
  19. 19.42389 ÷ 88 =
  20. 20.87809 ÷ 98 =
  21. 21.432822 ÷ 997 =
  22. 22.540390 ÷ 997 =
  23. 23.4518 ÷ 8 =
  24. 24.70765 ÷ 98 =
  25. 25.386413 ÷ 897 =
  26. 26.353262 ÷ 989 =
  27. 27.539468 ÷ 998 =
  28. 28.22171 ÷ 997 =
  29. 29.609272 ÷ 989 =
  30. 30.80622 ÷ 88 =
  31. 31.640195 ÷ 998 =
  32. 32.50647 ÷ 97 =
  33. 33.484803 ÷ 997 =
  34. 34.34574 ÷ 88 =
  35. 35.8026 ÷ 8 =
  36. 36.3609 ÷ 88 =
  37. 37.264240 ÷ 989 =
  38. 38.34488 ÷ 96 =
  39. 39.88317 ÷ 96 =
  40. 40.87389 ÷ 89 =

Answer key

  1. 60 rem 20
  2. 907 rem 89
  3. 563 rem 67
  4. 1093 rem 53
  5. 632 rem 28
  6. 363 rem 164
  7. 655 rem 220
  8. 366 rem 867
  9. 465 rem 246
  10. 293 rem 4
  11. 145 rem 166
  12. 254 rem 536
  13. 150 rem 358
  14. 360 rem 169
  15. 833 rem 5
  16. 371 rem 58
  17. 1059 rem 5
  18. 190 rem 377
  19. 481 rem 61
  20. 896 rem 1
  21. 434 rem 124
  22. 542 rem 16
  23. 564 rem 6
  24. 722 rem 9
  25. 430 rem 703
  26. 357 rem 189
  27. 540 rem 548
  28. 22 rem 237
  29. 616 rem 48
  30. 916 rem 14
  31. 641 rem 477
  32. 522 rem 13
  33. 486 rem 261
  34. 392 rem 78
  35. 1003 rem 2
  36. 41 rem 1
  37. 267 rem 177
  38. 359 rem 24
  39. 919 rem 93
  40. 981 rem 80

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